I think you misunderstand. The only way for me to verify my authentic name as a transgender individual if I understand the page correctly is for me to go and take out a magazine subscription (to match with my mail and another non-matching photo ID). The other identification options are all required to match my legal name.
> We should get states to provide some sort of transitional ID or something.
The fact that identification is difficult to change for transgender individuals is an enormous fractured problem. Also consider that Facebook is used around the world in various political climates. Even in the state of California it is necessary to go through treatment and get a doctors note and pay several hundreds of dollars and wait several months (You can forgo the doctors note if you're willing to publish it in the local newspaper a few times).
...and in the mean time their current process continues to shut down the accounts of people who are using their "authentic" names but don't have proper documentation. It's disingenuous for them to be calling this an "authentic name" policy when they have no intention of enforcing it as such.