We have integrated fast login methods using social media APIs for Facebook and Google.
Facebook sign in
Very easy, just navigate to Listing Types Settings General Integration, mark the checkbox Enable Facebook sign in, and it will ask you to enter Facebook API ID and Facebook API secret.
You need a Facebook developer account to obtain these. Follow this article to see some examples.
Google sign in
Similar to Facebook sign in, you need to follow the same path Listing Types Settings General Integration, then mark the checkbox Enable Google sign in, and it will ask you for Google client ID and Google client secret.
Have a look at the following article Integrating Google Sign-In into your web app.
After you set everything up, the social sign in buttons will automatically appear in the login process.