Just an update, Facebook also announced this `user_managed_groups` permission will be deprecated recently, for now this permission only for limited testing purpose only.
Currently I am not really sure which kind of permission can retrieve the user account group data yet, but our team still trying to submit these following user permission for approval.
groups_access_member_info
publish_to_groups
If these permission can able to retrieve the user group data from Facebook, we will update our documentation as soon as possible.