Authenticating via social providers can be tricky in React Native since you basically need to communicate with a social provider SDK for the particular platform you are developing on. However, there are several projects that you can use to make it possible. While setup is not as straightforward as adding Firebase authentication, It's pretty much detailed and well documented:
https://github.com/fullstackreact/react-native-oauth
Another amazing project, which also enables you to use any of the provided Facebook APIs bundled in Facebook SDK is https://github.com/facebook/react-native-fbsdk.
The reason I won't cover the exact steps for authenticating with social providers is mostly because SDK changes, the projects I mentioned before have changed, and IOS and Android versions change, so it's important that I guide you to the projects...