my bf was like that too. and i cried alot bc too tired. so one day i had enough and put baby right beside him and i slept somewhere else. so once baby cry, he no choice but to wake up and care for baby. ofc he will look for me but ill just ignore and be angry. I did felt sorry that I have to be that mean and left baby to cry for a bit before her daddy know what to do. but now he's more involved as ive started working back.
maybr try talking to your husband abt it. if nothing work, actions it is. hehe jiayous mummy.