… My faith claims no knowledge regarding how procreation happens in the afterlife…
“Eternal lives" is a term that refers to the right and power to beget children after the resurrection, granted to those who are exalted in the highest degree of the Celestial Kingdom. This is an aspect of eternal progression.(
D&C 131:1-4).
This distinctive
doctrine of The Church of Jesus Christ of Latter-day Saints was taught by Joseph Smith… “Except a man and his wife enter into an everlasting covenant and be married for eternity, while in this probation, by the power and authority of the Holy Priesthood, they will cease to increase when they die; that is, they will not have any children after the resurrection. But those who are married by the power and authority of the priesthood in this life, …will continue to increase and have children in the celestial glory” (
TPJS , pp. 300-301). Doctrine and Covenants,
section 131,is largely concerned with this subject, and was first included in 1876.
A husband and wife who are married in the new and everlasting covenant…are promised that they shall inherit “thrones, kingdoms, principalities, and powers,” and their “glory shall be a fulness and a continuation of the seeds forever and ever” (
D&C 132:19). They are likened to gods, having no end. They share in the promises of eternal posterity made to Abraham and Sarah: “Both in the world and out of the world should they continue as innumerable as the stars” (
D&C 132:30).
Brigham Young, in 1862, spoke of eternal lives, …and to become a “King of kings and Lord of lords,�is promised to the faithful, and are but so many stages in that ceaseless progression of eternal lives�. There will be no end to the increase of the faithful” (
JD 10:5)…In 1864 he elaborated: "In like manner, every faithful son of God, becomes, as it were, Adam to the race that springs from his loins, when they are embraced in the covenants and blessings of the Holy Priesthood�in the progress of eternal lives�. We have not yet received our kingdoms, neither will we, until we have finished our work on the earth…(
JD 10:355).
Latter-day Saints believe that all worthy men and women, through righteous living and being sealed by the power of the priesthood, …those same blessings and enjoy a continuation of seeds forever, or eternal increase.
https://eom.byu.edu/index.php/Eternal_Lives,_Eternal_Increase