I have to be pretty humble when trying to answer this because I haven't read about it and thought about it enough. I do wish to speak up, though, as best I can.
Your question seems to imply the Western Christian concept of Original Sin. "Eastern Christianity" has a different concept. I will need a few sentences to explain:
"Western Christian" includes both Roman Catholicism and the various Protestantisms. There is another part of Christianity that many people in the USA do not know about -- Eastern Christianity, which includes but is not limited to Eastern Orthodoxy. Christianity started in the Holy Land, in the eastern part of the Roman Empire. As time went on the church spread, the Roman Empire split, and (around the year 1000) the one Christian church split, with Roman Catholicism on the western side, and Eastern Christianity in the Holy Land, Greece, Eastern Europe, Russia, Armenia, Egypt, Ethiopia, even in India (when the Portuguese landed in India around 1522 they found a centuries-old Christian church already there). Today there are perhaps 200 to 300 million Eastern Christians; such numbers are quite fuzzy but there's a lot of us. It wasn't until the 1500s, in Western Europe, that Western Christianity split into Protestantisms and Roman Catholicism.
Eastern Orthodoxy's concept of original sin is like this: "The original (or "first") sin was committed by Adam and Eve (see Book of Genesis Chapter 3). Orthodoxy believes that, while everyone bears the consequences of the first sin, the foremost of which is physical death (in this world), only Adam and Eve are guilty of that sin (see Book of Ezekiel Chapter 18). Roman Catholicism teaches that everyone bears not only the consequence, but also the guilt, of that sin." (Quoting from OrthodoxWiki)
I do *not* want to focus on the differences for their own sake, or criticize my Roman Catholic sisters and brothers. What I *do* want to do is bring to your attention a millenia-old Christian teaching on original sin that avoids some of the difficult and awkward features that gave rise to your question.
Our teaching is that "Original sin does not carry guilt ..., for a person is guilty only of his or her own sins, not those of Adam." (Orthodox Study Bible glossary) This certainly does not deny that we all sin and need redemption and that redemption can occur only as a gift from God, a gift that cannot be earned.
So I am answering your question by saying that Eastern Christianity gently denies that each of us starts out guilty of original sin. In order to say that, I needed to give background and hence my answer is long, and I apologize. To learn more, please check out one or more of the links below.