Does what happened between the spouses constitute a sin for either of them, what is the advice in this situation, and does the wife return to her husband's authority after being officially returned without her consent and her return to the home?

The wife's error was insulting her husband, cursing him, and attempting to expel him from the room. The husband's error was his severe beating of the wife; the beating permitted by شرع (Islamic law) is one that is not severe. The reconciliation occurred when the husband took his wife back before the expiry of her iddah (waiting period), and neither the wife nor her guardians have the right to prevent it, because reconciliation does not require the wife's consent or knowledge. The husband is advised to mediate through relatives or religious scholars to bring his wife back to his home and to treat her with kindness and wisdom, taking into consideration the nature of women.