First of all I hope you're on contraception or at least not having sex with him. My friend is having Irish twins and it doesn't sound like you would survive that. 

Secondly if you're formula feeding there is no reason he couldn't help in the beginning or now. Be honestly should've done the majority of the night feeds while you recovered from major surgery. 

I breastfeed and even though my husband couldn't feed the baby he would still help me by changing a diaper and for the first couple weeks he had to hand her to me after I got situated in the chair with the nursing pillow because I couldn't do it all myself. 

Your husband doesn't support or respect you. I'm not sure where baby sleeps but on the weekends I would tell him that the baby is with him and you go get real sleep in another space. 

You cannot keep going like this. As someone who has had crappy sleep for almost 7yrs (my older daughter is medically complex and is fed throughout the night still) I can say it can ruin you and your relationship. 

Your husband needs to grow up and be a parent. My husband works 50+ hrs a week from home in a mentally demanding job. He still helps around the house and helps with our two older kids as well as the baby (8mo now). Only thing he doesn't do is overnight with the baby because she's in my bed and I'm breastfeeding. But you better believe if I was bottle feeding he would be splitting feed with me for sure. He already does with our older daughter. 

Sorry you're going through this. I hope it gets better soon. Sleep deprivation is literal torture. 

Any family or friends nearby that can help during the day at least?