This question already has an answer here:
This is a retcon question. It’s relevant because the return of the Emperor in Episode 9 re-raises the issue of who will bring balance to the Force.
There are the following quotes in Episode V:
Yoda: Told you I did. Reckless is he. Now, matters are worse.
Obi-Wan: That boy is our last hope.
Yoda: No. There is another.
Yoda (dying): There is another Sky Sky wal . . . k. . er (croak)
Luke: Yoda spoke of another.
Obi-Wan: "The other he spoke of was your twin sister."
This question assumes Kylo Ren is the "other" Yoda referred to. Based on that assumption, this question asks for supporting evidence.
This is NOT a duplicate of other questions, which ask who Yoda was referring to, or which identify Leia as the person Yoda was referring to.
This question also makes the assumption that the hope Obi-Wan referred to was the concept that a chosen one would eventually bring balance to the Force. Qui-Gon thought it would be Anakin. Obi-Wan thought it would be Luke. Back in the 1980s we believed Yoda thought it would (or could) be Leia.
But, is there evidence in canon that Yoda was referring to Kylo Ren? (Or, referring to Kylo Ren indirectly through Leia?)
It's possible that Kylo Ren had already been conceived at that point in Episode V (on the Falcon). It's possible that Yoda knew all this from Force visions. It's possible that Kylo Ren will be the person to finally bring balance to the Force.
What is the canonical evidence?