All sins are the same, on the day of judgement we're not going to be exempt from sins because of our gender. But to answer the question, it's all rooted in Biology i.e sperm is cheap, wombs are expensive.
I think what OP is talking about is the double standard, that is women being assigned more responsibility. End of the day you have to rear children, you have to go through pregnancy and endure the pains of labour, you are the cultural carriers of language and legacy. There's going to be more penalties against you, not saying it's fair, but we have to be pragmatic. A good father can't do much with a bad mother, the kids have a higher chance of becoming criminals or deadbeats, a good mother on the other hand can turn things around and raise her children to achieve greatness, even if her husband is a deadbeat, that's why all societies and cultures throughout history have applied higher standards towards women, again it's not fair but we can't exactly compare men and women, it's a false dichotomy.
I know, but there seems to be a lot of contradictions. Women are expected to be 'better' then men, yet men are somehow assigned leadership positions, despite societies low expectations of men.
Another contradiction is that in society, women are seen as a 'fitna' for men. It is seen as a given that men find it harder to control their sexuality, yet it is women that are curtailed more despite being the gender that supposedly has more self control.
My point is, on one hand men are seen as more weak when it comes to morals, not held to a higher standard, yet on the other hand are afforded more privileges and in traditional settings they are the ones that are meant to teach and control women's morality.