We believe that men will be punished for their own sins, and not for Adam’s transgression.
In line with divine justice, all men and women must be held accountable for their personal actions, and not the actions of other individuals, including Adam. That isn’t to say we are not affected by the actions of others. People are indeed blessed or made to suffer, to certain degrees, by the actions of others. Our standing before God, however, is independent of outside forces and is based on what we have done with our circumstances. The spirit of God withdraws when we turn away from Him and our access to the atonement is cut off. Without the atonement, we cannot progress toward God. That is a natural consequence of our actions, and such consequences were ones that God wished for us to avoid.