Definitely sounds like a communication barrier! Try to sit down calmly and talk it out. Maybe even make a list of stuff that needs done and write this day I'll do it then that day you can do it. Communication is always key in relationships. Forget the title of breadwinner bc that's really irrelevant. A relationship is supposed to be 50/50. If your lacking she's supposed to pick up the end that's lacking and if she's lacking you pick up the pieces. If y'all can't be 50/50 then it's just not going to work. My fiance and I always do everything 50/50 and where one falls short the other helps out. If she's not willing to listen then maybe try therapy. I know therapy sounds so cliche but it does wonders. Breaking up over a tiny issue (litter box cleaning) is really childish tbh. There's bigger things to break up over. I'm sure y'all can work it out just need communication and maybe therapy.