Indeed, the Eucharistic sacrifice is the summit of Orthodox worship . Every other Orthodox mystery or sacrament leads to the Eucharist, for example, Baptism and Chrismation prepare an infant or a catechumen for participation in it, Holy Matrimony ensures a steady supply of future Orthodox children, Holy Unction (anointing of the sick with oil) assists with comfort healing*, thus preserving Orthodox Christians or providing for their comfort when dying, Holy Orders (ordination) gives us more priests, and Reconciliation allows for the spritual benefits of private auricular confession so that our sins and other spiritual illnesses do not come between us and God. For example, I had for most of my life a terrible fear of hearses, until an Orthodox clergyman cured me from it in that sacrament. Now they don’t bother me. And he wasn’t even one of the better confessors I have had. I also have a starets or gerons (an elder) who helps in my spiritual formation.
What enables all of this is our interaction with the uncreated grace of God provided by the Holy Spirit. That is the “mechanism” if you insist on calling it that, but I regard it as spiritual and organic rather than mechanical, and it is certainly not magic.
Our priests are not wizards who point wands at things and change them via their own power, the idea of such is actually heretical, being related to Pelagianism and Gnosticism (salvation by secret knowledge). Simon Magus claimed to be a magician and a Zoroastrian mobed, or cleric, and claimed to have become an apostle, when in fact St. Peter politely told him to get lost when he offered money to be granted the power of the Apostles, and was the first practitioner of the heresy of Gnostic Christianity, which is centered around salvation through talismanic secret knowledge and ritual magic. Orthodoxy is opposed to Gnosticism for it along with the belief that those who believed Christians must become Jews as part of following Christ, were the first two heresies; we are equally opposed to later heresies like Marcionism, Sabellianism, Arianism, Nestorianism and Iconoclasm, to name a few.
*for example, my mother had a tumor that was miraculously reduced from one that according to the MRI would take at least eight hours to remove using MOHS microsurgery, and involve her losing the nerve controlling her left eye, but after she received the Oil of Healing, the plastic surgeon on the day of the procedure found it was entirely superficial and it was removed in 30 minutes and healed completely in six months