I think what Anne could do to get along with her mother and the Van Daans better is to maybe offer helping around the place more and acting nice to her mom regardless if the mom is in a bad mood or not. Or maybe she could arrange herself to have more girl to girl talk with her mom so they can adapt better. As for the Van Daans, she could maybe just be nicer like I said before and offer to do more (to what she is able to do). I think by doing those things, she can earn more respect from both sides.