Is the method I followed to reclaim my wife after a revocable divorce considered Islamically valid, or does it require another procedure, and what is the best solution for dealing with the wife's mother?

Writing with the intention of revocable return (raj'ah) is considered a valid and acceptable revocable return. It is not permissible for the wife's mother to interfere between her daughter and her husband except for reconciliation. Inciting her against him is forbidden. The wife must return to her husband's home, and there is no obedience to the mother in disobeying the Creator; otherwise, she is considered rebellious (nashiz). One should be patient with the wife's mother and advise her with wisdom. It is better for someone who holds influence with her to advise her, and if possible, for the husband to live far away from her.