Is her mediation merely by intercession, prayer for us to her Son and to God the Father? Or does she also play a role in the distribution of graces from the Father through her Son to us? Many today, influenced by Protestant theology, tend to speak of grace merely as favor, and so say grace is not a thing given. But that would imply Pelagianism, the heresy that says that we can be saved by our own power. For if God merely sits there and smiles at me, and gives me nothing, that would mean that I had to do it by my own power.
So we answer, since Mary was associated with her Son in acquiring grace for us, she will also share with him in distributing that grace to us. This fits well with the words of the Popes, who call her the administra of grace, meaning that she administers or dispenses it. So Pope Leo XIII, Iucunda semper, said:
“… when He [the Father] has been invoked with excellent prayers, our humble voice turns to Mary; in accordance with no other law than that law of conciliation and petition which was expressed as follows by St. Bernardine of Siena : ‘Every grace that is communicated to this world has a threefold course. For by excellent order, it is dispensed from God to Christ, from Christ to the Virgin, from the Virgin to us.’”
ewtn.com/faith/teachings/marya4.htm
It also says that Lumen gentium speaks of her as taking care of all her children.