Andy, Adam and Eve, having eaten the forbidden fruit, realised their nakedness, so they wove fig leaves together to cover their modesty. Genesis 3:7
So they were covered.
Yet in Genesis 3:21, God clothed them in animal skins.
So what does this suggest?
It suggests that the fig leaves were inadequate to cover their sin, although they covered their nakedness.
Therefore it was God Himself who slaughtered the animal to make garments that covered both their nakedness and their sin.
There is no other way of weaving a new meaning into this.