I do not think Fr. Ripperger teaches that lay people may directly command demons. I agree, that is thoroughly Protestant and specifically Pentecostal.
Yes, Father does teach that. So, his spin on it is the assertion (that cannot be demonstrated from Traditional Catholic theology ... and is based on a misreading of St. Alphonsus, as we dealt with on another thread) that lay people can command demons where it comes to people who are under their authority. So, he'll say that a father can command demons to depart from his wife and children, since the wife and children are under his authority.
Father's error is that this does not, however, mean that the demons are under his authority. He can command those under his authority, but cannot command the demons, who are not. I own a car and see a thief trying to steal it. I issue a command to the thief to stop, since I own the car. Not only is he under no obligation to comply, but he could decide to take it out on me for trying to stop him. There's absolutely no reason we can't ask Our Lady, the Terror of Demons, or St. Michael or our guardian angels to ward off the demons. We can even ask the guardian angels of those under our authority to respect our authority. They will do so because they respect God's authority, which is the same authority we exercise over our children, etc. But demons will only comply if they're forced to by God or by those who have authority over them through the Church, i.e. exorcists.
This notion of "Deliverance" is utterly Protestant and is based on the Protestant notion regarding a priesthood of all believers. In fact, since there's no Tradition for Catholic "Deliverance", Father Ripperger had to take Prot deliverance prayers and modify them to make them more consistent with Catholic doctrine.