The social login would work and it redirect the page to home page. The user is added to the forum. I could see the new member at the button of the forum. But the user status is still not login as a member. It just take the user to the home page as a Guest.
Unfortunately, I couldn't reproduce your error. Could you please provide us with more information, such as what is meant by "But the user status is still not login as a member", or screenshot.