Did Adam and Eve ever practice animal sacrifice?
The biblical answer is Yes!
After the Fall of Adam and Eve. God had shown His Infinite Mercy by clothing them, it means God had clothe Adam & Eve to protect them.
What particular symbol that the clothing of Adam & Eve with an animal represents?
In the Garden of Eden, before the Fall, Adam & Eve are offering to God their "sinless bodies" as a living sacrifice to glorify and worship God.
A Living Sacrifice 12 Therefore, I urge you, brothers and sisters, in view of God’s mercy, to offer your bodies as a living sacrifice, holy and pleasing to God—this is your true and proper worship. (Romans12:1)
After the fall of Adam & Eve, they can no longer offer their "corrupted bodies" to God. So, what is the replacement offerings acceptable to God?
In view of the Lamb of God that St.John the Baptist called Jesus Christ at the Jordan river, it would be wise to use typology that Adam & Eve was taught by God to offer an "unblemished lamb" as a pleasing sacrifice to God.
Is the animal sacrifice a burnt offering acceptable to God for the atonement of the sins of Adam & Eve?
Taking a closer look at the Passover ritual described in Exodus 12, it is possible to discern three distinct movements: the selection and subsequent sacrifice of the victim (Ex 12:3-6), the blood rite (Ex. 12:7) and finally the sacrificial meal (Ex 12:8-10). The victim is specially mandated: an unblemished, one-year-old male. It is interesting to consider this a little further. The term “unblemished” comes from a Hebrew word meaning positively whole or complete. “Unblemished” expresses the idea that this lamb should be perfect: nothing but the best should be offered to God. It is easy to see that without this stipulation, one might be inclined to offer an old or sickly lamb, one no longer useful, rather than a healthy, strong lamb. But the significance of “unblemished” goes further because the Hebrew word “tamim” later acquires a moral sense. In Psalm 101:2, the king speaks of “persevering in the way of perfection” (tamim), i.e., to live according to God's commandments. Job is called to be “tam” indicating that he is blameless before God (1:1). In a deeper but related way, our Lady is called “immaculate” meaning “without stain” because she is all-holy and conceived without Original Sin on account of her unique call as Mother of God.
The Supper of the Lamb FR. MATTHEW CARR https://catholicexchange.com/the-supper-of-the-lamb
The question is, do Adam knew how to offer a "sacrifice" to God? Yes, why? Adam is a priest, a High Priest.
Adam: High priest of humanity https://www.catholicnewsagency.com/resources/sacraments/holy-orders/adam-high-priest-of-humanity