Eastern Orthodox Christians and Jews have always maintained that, while we inherited the inclination toward sin from Adam, we did not inherit the guilt of Adam's sin, which would go against the plain meaning of scripture.
Ezekiel 18:20
The soul that sinneth, it shall die. The son shall not bear the iniquity of the father; neither shall the father bear the iniquity of the son: the righteousness of the righteous shall be upon him, and the wickedness of the wicked shall be upon him.
While death and sin entered the world through Adam's sin, Adam was not created as naturally immortal. If Adam had never sinned, he would still have needed to continue eating from the tree of life to live forever.
Augustine's doctrine on original sin may have had more to do with his prior Manichaeism than with what scripture and the previous church fathers actually taught.
While we indeed need God's grace to avoid sin and receive the forgiveness of sin, that doesn't mean we inherited the guilt of Adam's sin.
The Anabaptists, who were the forerunners of the Baptist movement, taught that we inherited the inclination toward sin from Adam, but not Adam's guilt:
Neither has Judaism ever taught the Augustinian doctrine:
Eastern Orthodox Christians have never taught the Augustian doctrine of original sin, and many Eastern Orthodox Christians don't regard Augustine as a saint because of it. They instead refer to him as "Blessed Augustine," but not Saint Augustine.
It's kind of strange when Baptists, who reject the Catholic doctrine of baptismal regeneration, insist upon the Catholic doctrine of original sin on which it hinges.