Fully logging a user out means ending the application session, the Auth0 session, and the identity provider (which may be Auth0) session. I am not sure whether the Laravel Quickstart does this or not. Details here:
But my problem is that the log out session is working when I press the logout click twice.
If I press one time it seems like I logout because it show me the login button as the guide says but if I click it doesn`t ask me nothing, just login and show me the logout button.
The behaviour you describe (click logout once, click login and you are logged back in w/o having to enter credentials) is the behaviour we expect when the application session is logged out, but your Auth0 SSO session (and/or your identity provider session) is still logged in.
If clicking logout a second time is resulting in different behaviour, I don’t have a good explanation for that. I’d suggest recording HAR file and have someone from Auth0 look at the HAR file to see what is happening.