If I was you I'd be physically showing him exactly what he needed to be 'grateful'
for ffs !
I'd be packing a bag and fucking off for a nice wee holiday, all on my lonesome, and letting him do everything I did for a couple of bloody weeks ! Telling him ''Well, you seem to think that my 'contribution' is not as great as yours, so I'm going to show you what I 'contribute', 7 days a week, 365 days a year !
And if he still wasn't 'grateful' ? I'd secretly be telling the kids on Sunday night that because work was really busy, Daddy was going to be taking care of them for a while, but that I'd see them next weekend.
The next morning, I'd set my alarm for an hour earlier than his, then get up, dressed and out the door, calling a cheery ''I'm slammed at work right now, but I've told the kids that you'll be doing everything for the next couple of weeks or so. I'll be home after the kids are asleep, but I'll sort my own tea, bye !''
Then I'd totally stop doing all the things I do to make family life 'happen', i.e
So, no shopping.
Or cooking.
Or laundry.
Or childcare.
Or cleaning.
Or life admin.
Or school runs/ school admin/ dates to remember/ book days etc etc
Or taking care of kids when unwell.
Or making doctor/dentist/GP visits with kids.
No buying cards/ gifts for any family etc
No bath/bed routine with the kids.
I'd be making sure that the school/ nursery/ GP/ dentist etc only had his telephone number and I'd ignore all his calls.
I'd also be unavailable to do school drop-offs/collections due to 'work commitments' and deliberately arrive home hours after he'd be home and had to cook his own and kids tea/ homework/ bath/ bed etc
I'd only relent when he admitted/ acknowledged that the 'contribution' we both made were equal (If not more that his mere 'cash' 'contribution' ffs !!
But then I have been accused of being 'harsh' at times
But I simply refuse to be 'subservient' or made to feel 'less than' by anyone ! I also don't believe that forcing a 'Dad' to actually take control of his own kids care is a bad 'lesson' for kids to learn either ! i.e that it's not only 'Mum' that should be able to help with school/ meals/ childcare etc !(It's a bit of 'education' for the whole bloody family about what their Wife/Mum actually does daily for them and that they should all recognise that !)