The Divine Liturgy of St. John Chrysostrm, used by Eastern Catholics, does not contain a Confiteor, penitential rite, or similar prayers of any kind.
Well, there's is generally a combined act of faith in the Real Presence, and a profession of unworthiness, and begging God's Mercy. There's no absolution, but I would consider that prayer to most certainly be a penitential Rite of sorts.
I believe, O Lord, and confess that You are truly Christ, the Son of the living God, Who came into the world to save sinners, of whom I am first. Accept me this day, O Son of God, as a partaker of Your mystical Supper. I will not tell Your Mystery to Your enemies, nor will I give You a kiss as did Judas, but like the thief, I confess to You: † Remember me, O Lord, when You come into Your kingdom. † Remember me, O Master, when You come into Your kingdom. 19 † Remember me, O Holy One, when You come into Your kingdom. May the partaking of Your Holy Mysteries, O Lord, be unto me not for judgment or condemnation, but for the healing of soul and body. † God, be merciful to me, a sinner. † God, cleanse me of my sins and have mercy on me. † I have sinned without number, forgive me, O Lord.
I do have some concern about the Eastern Rite's lack of emphasis on Confession, often wondering how many people say this prayer and think they can therefore receive Holy Communion in a state of mortal sin. I know that the Ukrainian priest I know (brother of Major Archbishop Shevchuk) often appealed to the faithful to go to Confession from the pulpit, but he never clearly explained that "if you're in a state of mortal sin, you can't receive Holy Communion". I have this sneaking suspicion that for many of them, unless they've committed murder, grand theft, adultery, or fornication, they probably don't understand what a mortal sin even is.
I actually severed ties with Father Shevchuk a couple years ago. I got annoyed with his shilling for Ukrainians vs. Russia, evidently unaware that the same Jews behind the Holodomor and Communism are the ones behind this absurd war that's doing nothing but sending Ukrainians into the meat grinder. But that was just annoyance. When at one Divine Liturgy they were praying for "the IDF" during the Divine Liturgy, after October 7, when they were perpetrting genocide already, and they prayed for them during the Liturgy, which I considered to be a sacrilege.