You both need to see a marriage counsellor, perhaps u have one who specialises in desi marriages near u.
Can i suggest something? Both of u go outsomewhere like a park or something where u will get some privacy from ppl who know u. Then have a CONVERSATION, u initiate it, start by acknowledging the fact that he does not like u telling your mum stuff. ADMIT u tell your mum stuff and say u have thought about it, and how u have seen it from HIS perspective and how HE must NOT LIKE it.
Then say, that u realised how HE doesnt like it when u tell your mum stuff, cos u also feel bad when HE tells HIS mum stuff. So agree to make a start by not telling your family ANYTHING of the troubles between u, and ask him to do the same by not speaking to his family of your troubles.
Then STICK to it and don't have tantrums.