Wiht a new baby a lot of thing in life have to shift, among them the household duties and responsibilities, plus sleep patterns..
For example I became office-in-charge of nappies (we had cloth ones in those days and lived in a rainy and cold climate during the winter.
I was the only one who could figure out how to work our ancient twin tub washing machine and thus became in charge of the lot - buying, cleaning, sterilizing, washing and drying (plus folding and putting away.)
This not something I'd ever dreamed of, but it was a fair thing, same with some cooking. So your husband, far from picking holes in what you do, will have to take over equivalent tasks himself.
Not to do so and continue with a negative attitude will say a lot about him.
Please let me know how you feel about this