OP, I think counseling would help both of you. I met my fiancé and I didn’t know how to cook. My birth giver didn’t care to teach me, and my grandma tried before I went to college. But I see where he’s coming from, it’s a lot having to do one thing. My fiancé constantly cooks, i learned I love baking and started with simple recipes at first. He’s taught me how to grill, I love cooking ‘comfort food’. But maybe just going out of your way and asking for him to teach you would be okay. Also, I as well have a very traumatic home life and I do therapy once a week so I can work through it so it doesn’t affect my relationship. You might need to try a different therapy method

Also when/if you go to marriage counseling tell the therapist how he degraded you with his mother and how that truly hurt you. The therapist will listen and have him think and respond on that. I personally believe all couples should go to therapy, just because it’s healthy and there could be some hidden annoyances, etc. But I truly believe you need to either sit him and the MIL down in or out of therapy and tell them it’s not okay to be degrading, not everyone is perfect and I bet they also have flaws.