What should a man do whose wife left his family's home due to his mother's dislike of her, and moved to live in her parents' house?

You are not obligated to live with your family. In fact, your living with your wife outside your parents' home might be better for both of you and for your mother, to avoid problems resulting from jealousy and competition, and to mend the relationship between the mother and the wife. Among the reasons for a mother's dislike of her son's wife are: excessive mingling, the mother's jealousy of her son's attachment to his wife, the wife's poor conduct, or the husband's shortcomings in fulfilling his mother's rights. To solve the problem, you can live away from your mother, send her gifts, and involve sensible people to change her perception. You should also live independently in your own home away from the wife's family.