Our worship, prayers, and all of the attending things are Trinitarian from beginning to end. When we look at the function of the different members of the Godhead with respect to prayer, we see that the second person of the Trinity, Christ, intercedes for us as our Great High Priest. That’s why we usually pray in the name of Jesus.
Additionally, the Holy Spirit assists us in articulating our prayers to the Son, who then carries them to the Father. We make that distinction among persons, but we’re distinguishing among three persons of one being. So, all that we do in this case is fully Trinitarian.