How to handle culture clashes

Long story short, my daughters father was raised in a non western society and i grew up in the US. We have very different ideas about how to raise a child and how to split up tasks. I believe he should WANT to be as involved as he can be but he thinks since I’m the mom, I’m responsible for taking care of our baby. I’m not working right now and he works 60 hrs/week. We always have conflict over how he’s not helping out as much as I’d like him to. He helps but very little and I know work gets him tired but it bothers me so much when I ask him to do something and he says “I’m too tired...” or “ I don’t know how to” or “your her mom”. Leaving him isn’t an option as that’s something I don’t want to do. I love him but need help! What should I do?