WordPress Membership Plugin
3.7.2, that’s the version I’m using.
I had a different experience with social login, that I want to offer here in case it is of any help. Using latest versions of Simple Membership and Nextend Social Login, and ticking both “Enable Auto Create…” and “Force WP User Sync…” boxes, I managed to get a Google login user listed as a Membership member. But that was all. It’s like if Membership system doesn´t recognize it as such. It doesn’t recognize it as logged in, it doesn’t show its profile via shortcode (but it does in the Members list), it doesn’t record its logins.