The Mormon Church teaches that man is not responsible for Adam’s transgression, but for their own sins only. They do however teach that Adam did receive death for eating the forbidden fruit as you’ll see today. They use scripture such as the passage in Matthew 19 as their proof, which isn’t even talking about original sin.
Answers to Gospel Questions, Vol. 3:16; “It is a false doctrine which prevails in the world that children have to be cleansed from original sin. Those who teach such a doctrine fail to comprehend the nature of the atonement of Jesus Christ. Adam and Eve brought death into the world by partaking of fruit which was forbidden. This act brought death upon them, and their posterity inherited death so that we all have to die some time. The posterity of Adam in no way whatever is subject to original sin, and there is no act required of them to cleanse them from such a sin.” Joseph Fielding Smith.