Why is it on you to come up with a method to keep the house clean and tidy? This is a joint responsibility.
My DH and I both work FT. We have a mixture of shared tasks and tasks that each of us agrees to be responsible for.
If one person thinks the other isn't doing their tasks well enough or isn't pulling their weight with the joint stiff, we say so, but politely when possible and not in a naggy way. Sometimes it means one person is temporarily more busy or stressed and needs extra help. Sometimes one of us is genuinely just bad at doing something well and needs the other one to show us (I am in some respects not very domesticated and low-key incompetent so I have genuinely learned more efficient floor-mopping and duvet-changing techniques from my DH... likewise he needed some serious educating on what constitutes a good enough clean of the sink... we're working it out!).
My own domestic arrangements are far from perfect but the key surely is it's on both of you to devise the system that works for you best. I don't agree with those saying that if it isn't good enough he should do it all himself - that's the sort of shitty attitude that usually gets women lumbered with all the work. But it doesn't sound like the current approach is working for you either.
If it's genuinely a matter of differing standards, maybe he needs to be more explicit about what his standards are, or maybe he needs to take on the things he doesn't think you do well enough whilst you pick up slack elsewhere. Or maybe he needs to compromise and be more accepting. I do think that anyone, man or woman, who insists on rigidly, overly high standards and gets grumpy when others don't meet them does need a reality check and to accept responsibility for doing more if they refuse to flex. Unfortunately 'overly high' is subjective though...
Btw I can totally see how the icing thing might happen. After my last baking escapade I thought I'd got it all and noticed the next morning that some was clinging to the outside of a bag of bread and a bit to the toaster. My bad - I can relate. Luckily my DH is quite chill though (actually not luckily... it's part of why I married him. Someone with very high standards would have run for the hills from me by now).