Just for update the problem was in public $live_site in configuration file. I deleted what was in quotes and now it's working fine.
After that another issue happened that was related to Admin Tools htaccess maker. Error was
Received message of type object from
platform.twitter.com, expected a string connect.facebook.net/en_GB/sdk.js:64
Failed to load resource: the server responded with a status of 403 (Forbidden)
domain.com/modules/mod_sclogin/ajax/otpcheck.php
POST
domain.com/modules/mod_sclogin/ajax/otpcheck.php 403 (Forbidden) jquery.min.js:4
So I added modules/mod_sclogin/ajax/otpcheck.php to htaccess maker->Exceptions->Allow direct access to these files and now it seems login to work ok. I have just sdk.js:64 error to fix.
Thanks and regards