In the closing scenes of Star Wars: The Last Jedi on board the Falcon, we see Finn spotting the Jedi Order books in a drawer while making Rose comfortable.
Until then we'd been left to believe that Yoda had destroyed them when Luke decided to make a bit of drama.
Who stashed them on the Falcon? Rey? Luke? Yoda?
On a second viewing, I noticed we actually see the texts twice on the Falcon--the second is the obvious time, but we actually see a very brief glimpse of them right after the Falcon leaves Ahch-To, when Rey closes that drawer before getting in the escape pod to Snoke's ship and telling Chewie to rendezvous with her later. Hence, she knew about them/their location before ever being mind read by Snoke.
So, it seems likely that it was Rey who stole the texts. Yoda likely knew about it (re his snarky "nothing she doesn't already possess" comment), but I doubt Luke did, given that he attempted to run into the burning tree to rescue them before being repelled by a bunch of fire.
As for why she did it--it's speculation, but Rey had already offered Luke the chance to reclaim the way of the Jedi multiple times and he refused (including directly before she left the island, when she offered him the lightsaber). He also wasn't teaching her anymore. It's a good bet that she'd decided to take things into her own hands by then.
No clarity is given in the Last Jedi, but the best answer is Luke.
Only 3 people know of the Sacred Jedi Texts:
It's not likely Yoda would try to preserve them given the way he described them "not page-turners". And also the fact that he destroyed the uneti tree.
It's also not likely Rey would try steal them when she would assume that Luke is taking care of them and assuming they will be safe on Ahch-To.
It makes the most sense that Luke would want to preserve the Jedi through Rey, this is shown by his willingness to train her and save the Rebellion.
Perhaps he wanted Rey to continue her own training away from Ahch-To.
Perhaps he assumed that Rey's memory would be mindread (as it was) and the location of the Jedi Texts found and destroyed by the Sith - this would also explain why he would stash them on the Falcon rather than giving them to her in an obvious way.
The real question should be: Was it Luke in the flesh that planted the Sacred Jedi Texts? Or was it his force ghost?
Those questions and perhaps the original question may be answered in a future episode.
It was Chewie. He took some mementos and stuck them in his memory drawer. Him and the Jedi go way back to the Clone Wars, he may even know how to read the text. If anyone could find Jedi to use them it's that hairy dude, he might even know where Ahsoka is. Yoda just showed up at the end to chat with Luke. Luke would of let them burn. Rei, well, where would she even know how to read what's in the books?
