Is it better for the husband to pray in congregation at home with his wife so that she does not miss out on the reward of praying in congregation, or to go to the mosque to pray in congregation, knowing that in this case the wife will pray alone and the call to prayer does not reach them?

If you pray sitting, it is not permissible for you to lead your wife who is standing, according to many scholars. However, if you follow an opinion that considers the prayer valid, then there is no harm. Your prayer in the mosque is more virtuous and carries a greater reward. Avoiding the disagreement of those who made attending the congregation obligatory there is more preferable than praying with your wife so that she may attain the reward of the congregation. Your wife can attain the reward of the congregation by you praying with her with the intention of a voluntary prayer after you return from the mosque.