In the Rogue One trailer, we see a scene on Jedha, with a gigantic statue fallen down to the ground, half covered in sand.
Who did the statue represent? Why was the statue originally sculpted, and why was it taken down? Was the character a member of the Jedi Order, or another Force cult? Was the statue destroyed prior to the establishment of the Empire and Order 66, or later? Who was it destroyed by?
In the comic book Darth Vader: Dark Lord of the Sith 8: The Dying Light Part 2, Master Jocasta Nu returned to the former Jedi Temple on Coruscant to rescue a holocron. She entered the Archives through a secret passage within a smaller version of the similar-looking statue.
Additionally, the same figure was repeated on the door of the passage.
This event occurred around 19 BBY, which reveals us, the Jedi Order had transferred at least one of the statues from Jedha to Coruscant – assuming they were of the same origin. It also tells us, that they had left the bigger one lying on Jedha for a reason, since it was still on the moon in 0 BBY (and got destroyed). The condition of the smaller statue indicates it may have been as old as the big one still on Jedha, even though the Archives had gone through some serious devastation by the Empire and the Inquisitorius.
There were statues just alike on Ilum, too, as seen in the episode The Gathering of the Star Wars: The Clone Wars television series.
Thinking about what Ilum and Jedha had in common leads us to the Kyber crystals. Might that be a clue?
Also, in the second issue of The Rise of Kylo Ren comic book series, Luke Skywalker, Ben Solo, and Lor San Tekka visited a Jedi outpost on Elphrona. A couple of similar statues were standing in front of the site.