In the Fall, Eve subverts Adam’s leadership and authority, while Adam abdicates his responsibility.
MEN — In Genesis 2:16-17, God gave the command to Adam (before Eve was created). He had the responsibility to pass along the command; he was responsible for her knowledge of the command and her obedience to the command.
God asks Adam first about what happened (Gen. 3:9-11).
Adam blames Eve, abdicating his responsibility (Gen. 3:12).
WOMEN — In Genesis 3:1-6, Eve is tempted and decides to eats the fruit without talking with Adam. Adam is nearby and he doesn’t intervene; he follows her lead. Eve subverts Adam, and Adam abdicates his leadership.
When God asks Eve what happened, she side-steps the fact that she subverted Adam’s authority by deflecting to the deception of the serpent (Gen. 3:13).
OVERALL — the curse relating to the relationship between men and women is summarized in the last phrase of Genesis 3:16, “Your desire will be for your husband, and he will rule over you.”
The wife’s curse is that she will be consumed with finding her worth/value in men.
The husband’s curse is that he will be a Lord over his wife.
In the gospel, the wife submits to her husband’s leadership/authority, and the husband embraces his responsibility to sacrificially love his wife.
Ephesians 5:22-24 is a reversal of the Fall for women — the wife reverently submits to her husband in everything (contra: Eve’s subversion).
Ephesians 5:25-33 is a reversal of the Fall for men — husbands love their wives sacrificially and uphold their responsibility to lead/protect/provide.