Adam and Eve were to multiply themselves and subdue the lands & creatures of the wilderness to incorporate them harmoniously into the template of the garden. They were to rule over creation according to their best judgement—the core meaning of being created in God's image—without need to till the ground because the garden provided food on its own.
The rebukes in Genesis 3:14-19 are reversals of the original plan of creation: God condemns the snake (an unsubdued creature) to go on its belly (it was presumably like a cobra that goes about upright like a human); and he proclaims that Eve will now multiply with difficulty (menstruation, pregnancy, birth, etc.) and subject herself to Adam, while Adam will now be forced to labor to provide for his family. With regard to Adam and Eve, their purpose to multiply and subdue the world remains, but this purpose will now assume the form of a painful burden, and their partnership will now assume a lopsided relationship.
Note: The words *'êzer kəneḡdō* (translated as "helper" in Genesis 2:18) literally mean "counterpart"; *ishah* (translated as "woman" in Genesis 2:23) means “from man”; and *khavva* (translated as "Eve" in Genesis 3:20) means “life.”
