Adam and Eve was bound by the laws of the Torah, and what they ate was forbidden by law. Satan used the law against them. The one he used is found in Exodus. The law concerning leaven. Anyone who consume leaven will be cut off. This verse alone does not prove they were cast out of the garden because of leaven, however there are verses that will support leaven as the forbidden fruit.
15Seven days shall ye eat unleavened bread; even the first day ye shall put away leaven out of your houses: for whosoever eateth leavened bread from the first day until the seventh day, that soul shall be cut off from Israel. (Exodus 12:15 KJV)
In Matthew 13:35, Jesus said he would reveal a secret kept from the foundation of the world but tell it in a parable. It is the parable of leaven. It describe how a woman hid leaven in someone's meal until the whole (him and her) was leavened. In the Bible, three measures of flour are used to make bread.
33Another parable spake he unto them; The kingdom of heaven is like unto leaven, which a woman took, and hid in three measures of meal, till the whole was leavened. (Matthew 13:33 KJV)
Satan gave Eve leaven and she hid it in Adam’s meal without his knowledge. She said the serpent had tricked me. After eating he said, "The woman whom thou gavest to be with me, she gave me of the tree, and I did eat." He was unaware that she put leaven in his bread and drink. The law makes no distinction whether he knew or not. The author writes in 1 Timothy 2:14 that the man was not deceived, but that the woman, being deceived, was in the transgression. The author also writes in 1 Timothy 2:15 that the woman would be saved if they continued with sobriety. Sobriety refers to the condition of being sober, or not under the influence of alcohol. Leaven is a yeast use in dough to make it rise and, it causes a beverage to ferment into alcohol. When God found them naked in the garden, they were intoxicated.
15Notwithstanding she shall be saved in childbearing, if they continue in faith and charity and holiness with sobriety. (1 Timothy 2:15 KJV)
God was angry with Satan and the woman for what they did to his son, so he cursed the ground for Adam’s sake. In other words, if my son suffer you all will suffer.