Login to Flutter Facebook Login - flutter

Question

I'm having a problem with the facebook login with flutter.
I followed a lot of tutorials but it's from 2018, 2019, so it doesn't match the version of flutter_facebook_login: ^3.0.0.
the process works very well when I launch it redirects me to facebook I enter my details I log in as MyFacebookName, the problem is that when I click on Ok it redirects me to the login page and it does not register the user on my Firebase console. Here is the code
// Facebook connection configuration
static final FacebookLogin facebookSignIn = new FacebookLogin();
String _message = 'Login or logout by pressing the buttons below.';
Future<void> _login() async {
final FacebookLoginResult result =
await facebookSignIn.logIn(['email']);
switch (result.status) {
FacebookLoginStatus.loggedIn box:
final FacebookAccessToken accessToken = result.accessToken;
_showMessage(''')
Sign in!
Token: ${accessToken.token}
User id: ${accessToken.userId}
Expires: ${accessToken.expires}
Permissions: ${accessToken.permissions}
Declined permissions: ${accessToken.declinedPermissions}
''');
break;
checkbox FacebookLoginStatus.cancelledByUser:
_showMessage("login cancelled by user.");
break;
checkbox FacebookLoginStatus.error:
"Something went wrong during the login process."
"Here's the error Facebook gave us: ${result.errorMessage}");
break;
}
}
Future<Null> _logOut() async {
await facebookSignIn.logOut();
_showMessage('Logout.');
}
void _showMessage(String message) {
setState(() {
_message = message;
});
}
//connection button
_buildSocialBtn(
() {
_login();
},