When the woman saw that the fruit of the tree was good for food and pleasing to the eye, and also desirable for gaining wisdom, she took some and ate it. She also gave some to her husband, who was with her, and he ate it. Genesis 3:6

The sin technically fell on the both of them, however Adam was more responsible for the sin.

The LORD God took the man and put him in the Garden of Eden to work it and take care of it. Genesis 2:15

In Genesis chapter 2, God told Adam the rules of the tree and put him in charge. It was his responsibility to be the rule-keeper. Then God created Eve.

In chapter 3, after the temptation, Eve knew the rule, so Adam did his job and passed the rule down to her.

When God arrived, wondering what had happened, Eve blamed Satan and Adam blamed Eve. God did not buy it. Both of them received a consequence for their action.

For Eve’s sin, childbirth will be painful for women and Satan was cursed.

For Adam’s sin, the earth will change, work will be difficult and mankind will now die, returning to the earth.

Adam’s sin received greater consequences.

If Adam did not eat the fruit, then possibly only women would experience painful childbirth or maybe God would have forgiven Eve if Adam stood up for God. Because Adam listened to Eve, he failed to act as the caregiver of the garden, living as the example of what he taught others. It’s one thing when people commit crimes, but another when responsible leaders—politicians, clergy, government workers—commit crimes. They should know better and suffer greater consequences.

So the greater sin and the greater focus on this sin falls on Adam, so that is why we should emphasize him more often or at least both of them and not just Eve.