In your household what role does your guy take on

I'm finding my SO no matter how many times he says he will start helping more around the house , still comes home and only helps with the baby . Which I find funny because when he comes home and the house isn't perfect he kind of groans about t and I tell him it's hard to deal with baby all day and have a spotless house but I try to get one big chore done every day. Then when he gets home and is taking care of baby he says he doesn't have time to do anything else yet still makes me feel like he expects more from me than a single chore. Doesn't say it but complains about this mess and that. And that he WOULD take care of it but he's dealing with baby as if on my off time of 5 hours a day I want to spend it doing chores .. uhm no I still have to make dinner and clean up from that, then I'm gonna take take a long shower and do a hair and face mask and take a nap before I'm up with the baby during the night while you sleep.

I just don't know how to eat it through his head that he dirties the house too , he needs to help. He says he "does enough damn work all day " well gee , you don't think being home with baby is work ? And no no he doesn't . He took care of a 6mo ,3&5 yr old for 6 months while thier parents worke 12+ hrs a day so he knows this shit is work, yet tells me "no , how about you go do my job and then be asked to clean when you get home" I always remind him I'm not asking him to clean the fucking house I just want HELP. Don't leave your dishes everywhere especially have drank cups of coffee. Don't theow your clothes all over the floor , there's 3 baskets in the house. Can be bothered to put his shows back on the rack or even just keep them off to the side somewhere no they're in the middle of the floor. I'm just so fucking annoyed. So when he IT up for work today at 6am despite me having been up with baby throughout the night I am now angrily cleaning my house and you know what I will have this shit spotless in the next 12 hours . I'm pounding redbull, and when he gets home I'm gonna tell him I swear to god , you do anything less than help keep this house the way it is , I'm leaving. I'm so tired of being the only one who can do a fucking load of dishes or start and switch the laundry and lord help me with the folding omfg I separate out clothes because in my opinion I shouldn't be folding a grown mans clothes he is capable of doing it himself but more often than not when I separate them he just leaves them in a pile ON TOP of his dresser and rummages through it every morning . I swear I see him out dirty clothes into it too! INSTEAD OF THE 3 DIRTY CLOTHES BASKETS. I HAVE FUCKING HAD IT.