What is the ruling on a father's insistence on implementing everything he deems fit in family matters, even if it is illogical, and considering objection an act of disobedience, and what is the ruling on his supplication against his children, and is the family sinful in that?

The fundamental principle is that a father strives for the well-being of his children, and obedience to him is obligatory in what is good and permissible. There is no sin upon the children for disobeying him in matters where obedience is not incumbent. However, one should deal with him gently and supplicate for him. It is not permissible for him to supplicate against his family. Similarly, children should be cautious of provoking their father, because a father's supplication against his child might be answered, even if it is not rightful.