President Nelson said, 'Rich meaning is found in study of the word atonement in the Semitic languages of Old Testament times. In Hebrew, the basic word for atonement is kaphar, a verb that means “to cover” or “to forgive.”' https://www.churchofjesuschrist.org/study/general-conference/1996/10/the-atonement?lang=eng
In the book of Moses, it says "Unto Adam, and also unto his wife, did I, the Lord God, make coats of skins, and clothed them." https://www.churchofjesuschrist.org/study/scriptures/pgp/moses/4?lang=eng&id=27#p27
Jesus clothed or covered Adam and Eve. I see this as a symbol of him offering his atonement to them.
If Atonement means to cover. What does it mean to re-cover? Perhaps it is to apply the blood of the atonement of Jesus Christ to cover us with his strength or his grace. To enable us to be born again as a new creature. One whose confidence has waxed strong in his presence.
3 Nephi 22:4 "Fear not, for thou shalt not be ashamed; neither be thou confounded, for thou shalt not be put to shame; for thou shalt forget the shame of thy youth, and shalt not remember the reproach of thy youth, and shalt not remember the reproach of thy widowhood any more." https://www.churchofjesuschrist.org/study/scriptures/bofm/3-ne/22?lang=eng&id=4#4
"Ye Must Be Born Again", David A. Bednar, Apr 2007, https://www.churchofjesuschrist.org/study/general-conference/2007/04/ye-must-be-born-again?lang=eng
D&C 121:45 "let virtue [or strength] garnish thy thoughts unceasingly; then shall thy confidence wax strong in the presence of God" https://www.churchofjesuschrist.org/study/scriptures/dc-testament/dc/121?lang=eng&id=45#45