1. Facebook asked you to enter in a 2 Factor authentication code and it says that it's going to send it to your phone.
2. You never received any code to your phone nor to your email.
3. The next thing is that Facebook tells you that you have entered to many codes, but you never received any.
Now, who on earth would have entered so many codes if not you?
Is this a Catch22 situation ?
Has someone changed your recovery phone or email or did you? Perhaps you have tried to login from a different device than usual.
As far as I am concerned, Facebook does not have a 2 factor authentication, usually the account is disabled and identification papers are requested.
Messenger is an application within but separate from a Facebook account.
The conclusion of this saga is left up to you.