What is the ruling of the religion and its expiation regarding someone who has intercourse with his wife while she is menstruating, and how can a man lead his wife and mother in prayer if he missed congregational prayer and returned home?

There is no objection to your leading your mother and wife in prayer at home after the congregational prayer at the mosque has passed, and you will be rewarded for it. It is permissible for the two women, if they are praying individually, to join you during the prayer and complete the remainder of their prayer to attain the virtue of congregational prayer. However, if one of them is leading the other in prayer, they should not interrupt their prayer or join you, because they have already attained the virtue of congregational prayer.