Die as described in Genesis 3;19:
In the sweat of thy face shalt thou eat bread, till thou return unto the ground: for out of it wast thou taken: for dust thou art and unto dust shalt thou return.
Ecclesiastes 9;5
For the living know that they shall die, but the dead know not any thing; neither have they any more a reward; for the memory of them is forgotten.
Adam and Eve did not die physically that day, a substitute was offered, Jesus Christ.
Genesis 3;21
Unto Adam also and to his wife did the LORD God make coats of skins, and clothed them.
However, Adam and Eve did die spiritually, that day.
Isaiah 59;2
But your iniquities have seperated between you and your God, and your sins have hid his face from you, that he will not hear.
Later, Adam and Eve physically died. Eves death is not recorded.
Genesis 5;5
And all the days that Adam lived were nine hundred and thirty years: and he died.
Note; When Adam was driven out of the garden, they no longer had access to the tree of life that had sustained them and immortality. They would now physically die. Mans life force has always existed outside himself. We are not immortal in any fashion.
2 Timothy 1;10 But is now made manifest by the appearing of our Saviour Jesus Christ, who hath abolished death, and hath brought life and immorality to light through the gospels: