After Adam and Eve sinned they lost their innocence and purity. They inadequately tried to cover their act of sinfulness (nakedness) by sewing together fig leaves to wear as covering.

God IS love. He is purely holy. He cannot tell a lie. He is just. God must always remain true to Who He Is.

God demonstrated His love to Adam and Eve and for all mankind. Adam and Eve could not provide adequate covering for their nakedness. Only God could cover their nakedness (and our sins)!

Genesis 3:21 Unto Adam also and to his wife
did the LORD God make coats of skins, and clothed them.

Can we even begin to comprehend what it truly meant when God willingly shed blood, the first blood, for His creation?

I believe it is safe to conclude that the sacrifice God made in the Garden of Eden initiated the practice of making offerings and blood sacrifices to God. God required offerings and sacrifices to be made as a form of obedience to Him and of atonement for man’s sinful rebellion.

If his offering be a burnt sacrifice of the herd, let him offer a male without blemish: he shall offer it of his own voluntary will at the door of the tabernacle of the congregation before the Lord. And he shall put his hand upon the head of the burnt offering; and it shall be accepted for him to make atonement for him. Leviticus 1:3-4.

Throughout the Old Testament we find offerings and blood sacrifices being made by God’s chosen people - Israel. This practice pointed to the coming of the Messiah - our Lord and Savior who became the permanent, final, perfect, unblemished blood sacrifice. Jesus paid the full price for mans’ sin and
overcame the curse upon mankind.

“Try for a moment to picture Jesus as He hung there on the cross. Then you will begin to appreciate the full horror of the curse. Jesus had been rejected by His own countrymen, betrayed by one of His disciples and abandoned by the rest, though some later returned to follow His final agony.

He was suspended naked between earth and heaven.  
His body wracked by the pain of innumerable wounds, 
His soul weighed down by the guilt of all humanity. 
Earth had rejected Him, and heaven would not respond to His cry.

As the sun withdrew its light and darkness covered Him, His lifeblood ebbed out onto the dusty, stony soil. Yet out of the darkness, just before He expired, there came one final, triumphant cry: ‘It is finished.’ ”
quoted from Blessing or Curse: You Can Choose by Derek Prince

Jesus Christ, the unblemished sacrificial lamb, bore the shame of our nakedness on the cross! He provided the needed covering for sin once and for all. He gave His everything to provide for you the gift of eternal life.

Can you give your everything to Jesus Christ?
Can you turn your life over to Him? 
Repent and receive Jesus Christ into your heart. 
Receive Him as your Lord and Savior. Do it. 
Become born again in Jesus Christ! 
You will never regret surrendering yourself into His loving arms.

Summary Points
One purpose of this writing was to draw attention to the fact that death had not been experienced in God’s creation until God, Himself, for the sake of mankind, killed animals to provide covering for the nakedness (sinful act of disobedience) of Adam and Eve.

God provided the first blood sacrifice for the sake of mankind in the Garden of Eden. In due time He provided the permanent and final blood sacrifice for the sake of mankind one the cross in the form of His own Son, Jesus Christ. 

Why did God do this? So that everyone who willingly receives Jesus Christ as their Lord and Savior will not pay the eternal consequence for sin but instead will live forever in the loving presence of our holy God.