User blog comment:Master Sima Yi/Assassinews 19-03-'14 – Two Assassin's Creeds for 2014?: Unity and Comet/@comment-31.119.156.145-20140701175146/@comment-1153722-20140702063345

Ezio said he intended to hide it there, but never did. He writes in the Codex that he still had the Apple with him when he was close to death, so that was already odd. Instead, Altaïr surely got a vision about the Prophet, and the Apple that would be hidden on Cyprus, writing about it in his Codex. As you can read on the Ezio's Apple of Eden page, the Apple that was hidden on Cyprus was originally in the hands of Sultan Mehmet II and was used to conquer Constantinople from the Byzantine Empire. After his death, his Templar son Cem claimed it, but after it refused to talk to him he chose to hide it in the Templar Archive on Cyprus so the western Templars could study it. This information is from Assassin's Creed: Recollection.

Also, what powers the Staves of Eden has can be read right there on their page. We do create these pages to avoid these questions.