G-d created a mate for him and ordered them to multiply. This first commandment, perhaps as all others just mean that procreating is in the nature of man. Then G-d ordered man, but not woman, who was not yet created , not to eat from the tree of knowledge. Man was not given such a chance, but was ordered to cleave to his wife. Finally man has chosen to follow his wife rather than G-d in some way.
Commentators say, it was in their sexual behavior that they acquired some knowledge.
That was woman s way of life, different from the animals and not designed primary to serve G-d. It became the humanity s way of life.