If the house is in my mom’s name who passed and being foreclosed on, what is my father’s financial obligations?

My mom passed away and now my parents’ house is going into foreclosure. Can Mortgage Company still come after him? We attempted to do cash for keys but fell through because the mortgage company said my parents never probated my mother’s will. I do believe mortgage was under both of their names. What can he take from house before it’s foreclosed on? Can he switch cabinets, take fridge, pool, etc. and if he does take those things from house, what would happen?