Remember users by it's firebase tokens in flutter

I am trying to create sign in method and also i want it to remember user by it’s tokens, so I created sqllite insert method and write there tokens. Also I want to create page where it will divide if user has token or not and show him RootPage or Registration Page. How can i chive this with flutter_bloc? For addition: i am saving token, but it still shows me registration page whatever if user has or hasn’t token

My bloc for remembering user:

    on<CheckAuthorizationEvent>(_checkAuthorization);
  }
  void _checkAuthorization(
      CheckAuthorizationEvent event, Emitter<AuthState> emit) async {
    try {
      final user = FirebaseAuth.instance.currentUser;
      if (user == null) {
        emit(const CheckAuth(null, false));
      } else {
        final tokenExists = await sQlService.isTokenExist();
        emit(CheckAuth(user, tokenExists));
      }
    } on FirebaseAuthException catch (e) {
      emit(AuthErrorState(e.getErrorMessage()));
    }
  }

and my page for dividing:

class _EnterPageState extends State<EnterPage> {
  @override
  void initState() {
    super.initState();
    final authBloc = BlocProvider.of<AuthBloc>(context);
    authBloc.add(CheckAuthorizationEvent());
  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      body: BlocBuilder<AuthBloc, AuthState>(
        builder: (context, state) {
          if (state is CheckAuth) {
            if (state.auth) {
              return RootScreen();
            } else {
              return const RegistrationScreen();
            }
          }
          return const Center(child: CircularProgressIndicator());
        },
      ),
    );
  }
}