Matthew Henry Commentary Genesis 3:20-21

"And the man called his wife`s name Eve; because she was the mother of all living. And Jehovah God made for Adam and for his wife coats of skins, and clothed them." — Genesis 3:20-21 (ASV)

God named the man and called him Adam, which signifies red earth; Adam named the woman and called her Eve, that is, life. Adam bears the name of the dying body, Eve of the living soul. Adam probably was mindful of the blessing of a Redeemer, the promised Seed, in calling his wife Eve, or life; for He was to be the life of all believers, and in Him all the families of the earth would be blessed.

See also God's care for our first parents, notwithstanding their sin. Clothes came with sin. We have little reason to be proud of our clothes, which are but the badges of our shame. When God made clothes for our first parents, he made them warm and strong, but coarse and very plain; not robes of scarlet, but coats of skin. Let those who are simply clothed learn from this not to complain.

Having food and a covering, let them be content; they are as well off as Adam and Eve. And let those who are finely clothed learn not to make the putting on of apparel their adorning. The beasts from whose skins they were clothed, it is supposed, were slain not for man's food but for sacrifice, to typify Christ, the great Sacrifice. Adam and Eve made for themselves aprons of fig leaves, a covering too narrow for them to wrap themselves in (Isaiah 28:20). Such are all the rags of our own righteousness.

But God made them coats of skin, large, strong, durable, and fit for them: such is the righteousness of Christ; therefore, put ye on the Lord Jesus Christ.