What is the ruling of Islamic law regarding the husband remaining in this state of not being just between his two wives and not registering his daughter, and what should the wife do about this?

A man's concealment of his second marriage often leads him to commit injustice against his new wife and makes him anxious. You must bear what has happened and strive to rectify it. Your husband must be just between you and his first wife regarding overnight stays, and you have the right to demand this. If he insists on refusing, you have the choice between patience or separation. We advise involving people of knowledge and reason to resolve the issue and compel him to be just and to officially register your daughter.