I am not sure I understand what do you mean.
Social login doesn't work at chrome, and it doesn't matter if SEF enabled or Disabled. SEF plugin is working correct - I see links to the login page and to the account page are different depending on if SEF enabled or disabled.
Yes, links
www.manili.com/index.php/account and
www.manili.com/index.php/login are showing the same login page, because account page has 'Registered' access level, so Joomla is redirecting not logged in user to the login page when he is trying to access account page - this is standard Joomla behaviour.
And social login is working fine at firefox, but doesn't work at chrome. I've tried to disable allnot core Joomla plugin (user plugins and authentication), but with no result.