Should I refrain from eating and drinking from money that is likely to be unlawful, knowing that my mother takes money from my sister to cover essential household expenses, and I am unable to prevent that or work?

If there is no evidence of the unlawfulness of the money, then it is permissible to benefit from it. If the money is mixed, with lawful and unlawful parts, then it is disliked to eat from it. If it is purely unlawful, then it is forbidden to eat from it. However, you may eat from it to the extent of necessity as long as you are young and do not possess what suffices you. Then, it becomes obligatory to avoid it once you are self-sufficient. It is also advised to maintain ties with your father and remind him of his duty.