This comment (and another cousin comment elsewhere) uses the word Punishment.

But I used the word Consequence.

As for Punishment, I found this quote to be helpful in understanding:

"It is just with God eternally to cast off and destroy sinners."- For this is the punishment which the law condemns to- The truth of this doctrine may appear by the joint consideration of two things, viz. Man's sinfulness, and God's sovereignty.

I. It appears from the consideration of man's sinfulness. And that whether we consider the infinitely evil nature of all sin, or how much sin men are guilty of.

1. If we consider the infinite evil and heinousness of sin in general, it is not unjust in God to inflict what punishment is deserved; because the very notion of deserving any punishment is, that it may be justly inflicted. A deserved punishment and a just punishment are the same thing. To say that one deserves such a punishment, and yet to say that he does not justly deserve it, is a contradiction; and if he justly deserves it, then it may be justly inflicted.

Every crime or fault deserves a greater or less punishment, in proportion as the crime itself is greater or less. If any fault deserves punishment, then so much the greater the fault, so much the greater is the punishment deserved. The faulty nature of any thing is the formal ground and reason of its desert of punishment; and therefore the more any thing hath of this nature, the more punishment it deserves. And therefore the terribleness of the degree of punishment, let it be never be so terrible, is no argument against the justice of it, if the proportion does but hold between the heinousness of the crime and the dreadfulness of the punishment; so that if there be any such thing as a fault infinitely heinous, it will follow that it is just to inflict a punishment for it that is infinitely dreadful.

A crime is more or less heinous, according as we are under greater or less obligations to the contrary. This is self-evident; because it is herein that the criminalness or faultiness of any thing consists, that it is contrary to what we are obliged or bound to, or what ought to be in us. So the faultiness of one being hating another, is in proportion to his obligation to love him. The crime of one being despising and casting contempt on another, is proportionably more or less heinous, as he was under greater or less obligations to honour him. The fault of disobeying another, is greater or less, as any one is under greater or less obligations to obey him. And therefore if there be any being that we are under infinite obligations to love, and honour, and obey, the contrary towards him must be infinitely faulty.

Our obligation to love, honour, and obey any being, is in proportion to his loveliness, honourableness, and authority; for that is the very meaning of the words. When we say any one is very lovely, it is the same as to say, that he is one very much to be loved. Or if we say such a one is more honourable than another, the meaning of the words is, that he is one that we are more obliged to honour. If we say any one has great authority over us, it is the same as to say, that he has great right to our subjection and obedience.

But God is a being infinitely lovely, because he hath infinite excellency and beauty. To have infinite excellency and beauty, is the same thing as to have infinite loveliness. He is a being of infinite greatness, majesty, and glory; and therefore he is infinitely honourable. He is infinitely exalted above the greatest potentates of the earth, and highest angels in heaven; and therefore he is infinitely more honourable than they. His authority over us is infinite; and the ground of his right to our obedience is infinitely strong; for he is infinitely worthy to be obeyed himself, and we have an absolute, universal, and infinite dependence upon him.

So that sin against God, being a violation of infinite obligations, must be a crime infinitely heinous, and so deserving of infinite punishment.- Nothing is more agreeable to the common sense of mankind, than that sins committed against any one, must be proportionably heinous to the dignity of the being offended and abused; as it is also agreeable to the word of God, I Samuel 2:25. "If one man sin against another, the judge shall judge him;" (i.e. shall judge him, and inflict a finite punishment, such as finite judges can inflict;) "but if a man sin against the Lord, who shall entreat for him?" This was the aggravation of sin that made Joseph afraid of it. Genesis 39:9. "How shall I commit this great wickedness, and sin against God?" This was the aggravation of David's sin, in comparison of which he esteemed all others as nothing, because they were infinitely exceeded by it. Psalm 51:4. "Against thee, thee only have I sinned."-The eternity of the punishment of ungodly men renders it infinite: and it renders it no more than infinite; and therefore renders no more than proportionable to the heinousness of what they are guilty of.

If there be any evil or faultiness in sin against God, there is certainly infinite evil: for if it be any fault at all, it has an infinite aggravation, viz. that it is against an infinite object. If it be ever so small upon other accounts, yet if it be any thing, it has one infinite dimension; and so is an infinite evil. Which may be illustrated by this: if we suppose a thing to have infinite length, but no breadth and thickness, (a mere mathematical line,) it is nothing: but if it have any breadth and thickness, though never so small, and infinite length, the quantity of it is infinite; it exceeds the quantity of any thing, however broad, thick, and long, wherein these dimensions are all finite.

So that the objections made against the infinite punishment of sin, from the necessity, or rather previous certainty, of the futurition of sin, arising from the unavoidable original corruption of nature, if they argue any thing, argue against any faultiness at all: for if this necessity or certainty leaves any evil at all in sin, that fault must be infinite by reason of the infinite object.

But every such objector as would argue from hence, that there is no fault at all in sin, confutes himself, and shows his own insincerity in his objection. For at the same time that he objects, that men's acts are necessary, and that this kind of necessity is inconsistent with faultiness in the act, his own practice shows that he does not believe what he objects to be true: otherwise why does he at all blame men? Or why are such persons at all displeased with men, for abusive, injurious, and ungrateful acts towards them? Whatever they pretend, by this they show that indeed they do believe that there is no necessity in men's acts that is inconsistent with blame. And if their objection be this, that this previous certainty is by God's own ordering, and that where God orders an antecedent certainty of acts, he transfers all the fault from the actor on himself; their practice shows, that at the same time they do not believe this, but fully believe the contrary: for when they are abused by men, they are displeased with men, and not with God only.

The light of nature teaches all mankind, that when an injury is voluntary, it is faulty, without any consideration of what there might be previously to determine the futurition of that evil act of the will. And it really teaches this as much to those that object and cavil most as to others; as their universal practice shows. By which it appears, that such objections are insincere and perverse. Men will mention others' corrupt nature when they are injured, as a thing that aggravates their crime, and that wherein their faultiness partly consists. How common is it for persons, when they look on themselves greatly injured by another, to inveigh against him, and aggravate his baseness, by saying, "He is a man of a most perverse spirit: he is naturally of a selfish, niggardly, or proud and haughty temper: he is one of a base and vile disposition." And yet men's natural and corrupt dispositions are mentioned as an excuse for them, with respect to their sins against God, as if they rendered them blameless.

2. That it is just with God eternally to cast off wicked men, may more abundantly appear, if we consider how much sin they are guilty of...

https://www.ccel.org/e/edwards/sermons/justice.html