My best guess as to what was intended is this:

Finn ejected from the TIE before impact and landed some distance away from the craft. Poe wasn’t able to eject, hence why he said he was ‘thrown from the crash’. The window of the TIE was smashed, so I’m guessing he was thrown through the window some distance and was buried in the spongy sand. The squad did a cursory search and failed to find him, and instead focused on Finn. Then later that night after Finn and Rey escaped Jakku, Poe awoke and got transport off planet.