What an interesting statement! The Lord God made them something to cover their nakedness. The fig leaves they had obtained for themselves were no good, so they were provided with something to cover that shame and inadequacy.
Clearly there was significance to these coats being made of skin, for an animal had to die in order for this to be done. Later, under the law, the skin of the burnt offering was given to the priest (Leviticus 7:8). What a type or symbol that is of the provision of forgiveness in Christ Jesus and the imputed righteousness that is ours when we trust in him. Man tries to cover himself with fig leaves of self-righteousness, but the conscience refuses to quietened by such things. This provision of skins had a picture of redemption built into it. Behind Adam and Eve’s sense of nakedness was the deeper problem of their shame for what they had done, and what they had become. One sin had changed them permanently. The unbeliever thinks that he can do evil and remain unaffected by it, but the condition and behaviour of our first parents teaches otherwise. Once the conscience is wounded by sin, that sin clings to us and belongs to us; it has stained us with an indelible stain. Only God can cover our guilt so that our conscience no longer condemns us. Revelation 3:18 alludes to this same truth. It is the atonement of Christ that convinces the conscience, and the knowledge that God’s justice has been satisfied. Only when the blood of Christ is applied to the conscience is the sense of guilt and of nakedness before God taken away.