Hey,
Thanks for the screenshots.
So, looks like your app is properly configured for both, Facebook and Google. However, there are some issues with your server configuration.
When I tried to log in with Facebook, I get the following error message: "Facebook SDK returned an error: name lookup timed out". This means that Facebook SDK is not able to contact Facebook servers because it cannot resolve the IP address. There are people with similar problems and, from what I can see, the only way to resolve this is to contact your hosting provider and let them know about the issue you are having and the error you are getting.
It's most likely the same issue with Google authentication too.
- Milos