Without priesthood authority, there are no everlasting covenants. The Lord's covenants essentially cover the whole Plan of Salvation . God's promise is to send a Savior for all humans, asking on their part for their obedience to the will of the Lord. As a consequence, all covenants are always new, everlasting, and continually renewed. They renew this covenant by partaking of the Sacrament of the Lord's Supper.
Many commentaries stress the one-sidedness of scriptural covenants.
A covenant is a special relationship with the Lord into which a person or a group may enter. A covenant is fulfilled when people keep their promises and endure to the end in faith, with the Lord giving blessings during life, and salvation and exaltation upon completion. A broken covenant results from a willful breach of promise, that is, transgression of commandments. By breaking this relationship, a person forfeits blessings. These can be restored in full only by repentance and reentering the covenant.