The Savior’s Redemption has two parts. First, it atones for Adam’s transgression and the consequent Fall of man by overcoming what could be called the direct effects of the Fall—physical death and spiritual death. Physical death is well understood; spiritual death is the separation of man from God. In the words of Paul, “For as in Adam all die, even so in Christ shall all be made alive” (1 Corinthians 15:22). This redemption from physical and spiritual death is both universal and without condition.
The second aspect of the Savior’s Atonement is redemption from what might be termed the indirect consequences of the Fall—our own sins as opposed to Adam’s transgression. By virtue of the Fall, we are born into a mortal world where sin—that is, disobedience to divinely instituted law—is pervasive. Speaking of all of us, the Lord says:
“Even so when they begin to grow up, sin conceiveth in their hearts, and they taste the bitter, that they may know to prize the good.
“And it is given unto them to know good from evil; wherefore they are agents unto themselves” (Moses 6:55–56).
Because we are accountable and we make the choices, the redemption from our own sins is conditional—conditioned on confessing and abandoning sin and turning to a godly life, or in other words, conditioned on repentance (see D&C 58:43). “Wherefore,” commands the Lord, “teach it unto your children, that all men, everywhere, must repent, or they can in nowise inherit the kingdom of God, for no unclean thing can dwell there, or dwell in his presence” (Moses 6:57).
The Savior’s suffering in Gethsemane and His agony on the cross redeem us from sin by satisfying the demands that justice has upon us. He extends mercy and pardons those who repent. The Atonement also satisfies the debt justice owes to us by healing and compensating us for any suffering we innocently endure. “For behold, he suffereth the pains of all men, yea, the pains of every living creature, both men, women, and children, who belong to the family of Adam” (2 Nephi 9:21; see also Alma 7:11–12). ("Redemption," Ensign, May 2013, pp. 109-110)