I am going through the exact same issues since I got married.
My parents (only my mother) always finds small issues to dislike and be rude to my husband and his family. It also has gotten to a point now wherethat my husband has lost patience and we have decided to keep distance ourselves from my mother who has now taken to play favorites and shower my sister's husband with compliments in front of my husband to make him feel bad.
I feel bad that I am distanced from my mother but sadly she always encourages me towards gossip and ill feelings and in my view staying away is better than emotionally feeling hurt with her and carrying the pain inside me like a diseasestaying away is better than quarreling and being emotionally hurt. This is my test in life, my mother. It is a test for you too.