Relationships are a team sport; they work better with less "I" and "you" and more "we".
My husband and I have had this kind of problem, in both directions. He used to wash the dishes but I wasn't happy with the level of cleanliness. Meanwhile, I cook and had been pretty flexible about timing depending on evening activities, when we got home from work, and what I wanted to make, and it turned out he had some non-obvious timing constraints. (I'm describing these together, but they were two separate incidents not related to each other.)
On the dishwashing, I'd tried (for years) asking him to be more careful, making specific suggestions, and sometimes getting upset (not good I know, but we're all human). Even when I was careful in phrasing, there was a lot of "I don't like X" and "you don't do Y" involved. It didn't work.
What did work was when I said something like this: "I don't like the disagreements about this and I'm sure you don't either. Can we come up with a different distribution of chores that works better for both of us?" For reasons specific to our household, simply trading cooking and dishwashing wasn't going to work. We ended up working out larger changes that left me with both cooking and dishwashing, which works better for me if I could unload a different time-consuming chore that it turns out he didn't mind doing. It's been a year or so and things are much better in the kitchen.
When he had concerns about timing he used a similar approach -- "I'm trying to work around (constraint), so could we try to have dinner by (time)?" Once I understood the issue I could accommodate it and, more importantly, I could tell him in advance when on a particular night I wouldn't be able to accommodate it, so we could talk about options.
If a partner feels criticized it's natural to say "if you don't like the way I do it, you can do it yourself". And sometimes that can lead to actual or perceived passive-aggressiveness, doing or seeming to do the chore badly to get the other person to take it over, and that's no good for the relationship. Instead of that, try working together to solve a shared problem.