I think possibly your feelings about noise and baking are amplified by sleep deprivation at the moment. I can relate; I was absolutely unhinged at the peak of sleep deprivation with my DD.
Having said that, it sounds like your DH isn’t pulling his weight more generally. It’s easy for resentment around the caring responsibilities generally to seep into all areas of your life.
What is he like generally? Wanting to make cornflake cakes for the kids next door and wrapping presents (a lot of men don’t even know where the tape lives…!) makes him sound like a reasonably decent bloke?
I don’t know if it helps to share my experience. My DH was a bit of a disappointment when we had a baby. I expected him to be an amazing dad, just based on everything I’d known about him for years. He was just a little disinterested and didn’t do a lot of the care. However, I was breastfeeding and on maternity leave and ultimately there was less that he could do. It felt deeply unfair to me that his life was carrying on in many respects and mine was almost unrecognisable. He did always make sure I could rest when he could, however, and there were lots of good things be did. The more tired I got, the harder I found it to see the good. I was angry and resentful and unreasonable at times. But I was also utterly exhausted and obsessed with sleep. It just filled my world and I couldn’t see beyond it.
I have personally found that as my DD got bigger, DH was able to do more and felt less excluded from our relationship. It’s been lovely watching their relationship develop and flourish. He is now the dad I thought he would be, and we are much more equal partners and caregivers than we could be than when DD was a baby.
I would add that I am not one to excuse shit men, so if it feels like it’s genuinely not okay in your relationship at the moment; listen to that. You know the dynamic and what he’s really like.