LDS, second Article of Faith: ¹

2 We believe that men will be punished for their own sins, and not for Adam’s transgression.

Handbook 1: Stake Presidents and Bishops, 16:13: ²

Children of a Parent Living in a Same-Gender Relationship
A natural or adopted child of a parent living in a same-gender relationship, whether the couple is married or cohabiting, may not receive a name and a blessing.

A natural or adopted child of a parent living in a same-gender relationship, whether the couple is married or cohabiting, may be baptized and confirmed, ordained, or recommended for missionary service only as follows:

A mission president or a stake president may request approval from the Office of the First Presidency to baptize and confirm, ordain, or recommend missionary service for a child of a parent who has lived or is living in a same-gender relationship when he is satisfied by personal interviews that both of the following requirements are met:

The child accepts and is committed to live the teachings and doctrine of the Church, and specifically disavows the practice of same-gender cohabitation and marriage.

The child is of legal age and does not live with a parent who has lived or currently lives in a same-gender cohabitation relationship or marriage.