Not that I am happy with "It seems like I will only get consideration if I am neurodivergent" from LW, but nevertheless:

• If partner doesn't blame it on the neurodivergence, then LW, assuming that's why he's being shitty is the soft bigotry of low expectations. It's a reasonable shared household ask; find out why he won't do it, and together you can fix the situation that makes him leave the avocado peel out. Maybe he hates the compost bin and he should use the trash. Maybe you should buy pre-made guacamole or pureed avocado instead of avocados for him.
• If partner does blame it on the neurodivergence, then there's probably something he can figure out to fix. Same ideas as above -- maybe the compost bin is a sensory problem, maybe he hates opening the dishwasher when there's dirty dishes in there already. There are normal disability adaptations, and together you can figure it out.
• If partner blames it on the neurodivergence but isn't willing to work with you to find adaptions for your shared household, then he's being an asshole and blaming his neurodivergence. Which is another kind of being an asshole! Precede accordingly.

Is this a bitch-eating-crackers thing about something else, or is this your resentment about neurodivergence, or is the "something else" that you're married to a man who refuses to discuss a minor accommodation if you can't explain to him why your feelings are rational by his lights? If it's the first one, fix it before it gets worse. If it's the second, talk to your therapist some more, because that ain't healthy. And if it's the third, this relationship may be doomed; only some of those guys are redeemable.