Facebook has over 3 billion users. Their support system is automated by necessity. The key to making your report a login issue work is to provide undeniable proof of identity the very first time you submit the form from the home page.
Facebook has a dedicated home page URL for this: facebook.com/hacked report a login issue home page facebook work
If you are completely locked out and cannot access the internal report tool: Troubleshoot something that's not working on Facebook Facebook has over 3 billion users