Hello, @rossandnickeev
By this message, I would like to provide you with some points regarding the Sign In with Apple plugin and the reason for the appeared situation.
First of all, after careful analysis of your app and the plugin code, I would like to note that our plugin doesn’t support the Touch ID / Face ID, so this is why it behaves in a wrong way for your side (as shown in the provided video) 
However, the plugin will work properly in case of manually typing the Apple ID and password, so the user will be redirected back to your native application.
Additionally, please allow me to point out that:
- All our plugins (except for Air Native Plugin) are designed for the Bubble platform, meaning they are web-based, so they will work perfectly in the browser;
- We cannot guarantee that any plugin will work well in the native application with the native wrappers;
- We managed to test the **Sign in with Apple plugin with BDK wrapper preview, and the plugin seems to be working well (it redirects you back to the native app after logging in with Apple ID);
We understand your concern and are sorry for the situation, but the rejecting of the app can be caused not only for the plugin, but any incomplete functionality (or even incomplete UI, or any other thing that doesn’t comply with their App Store review guidelines)
The best solution to properly use this plugin in the native apps is manually signing in (just as in a web browser).
Hope our investigation will be helpful for you.
Best regards,