Problem with no having authentication to google play games, on begining of the game

Hi :),
i got problem with no occuring authentication in my mobile game. The script is activated on the first scene, but nothing happen, i am testing the app, from my alpha test(closed path), so i know that the game is published and the service too.

        PlayGamesClientConfiguration config = new PlayGamesClientConfiguration.Builder().Build();
        PlayGamesPlatform.InitializeInstance(config);
        PlayGamesPlatform.Activate();

        Social.localUser.Authenticate(success => {
            if (PlayerPrefs.GetInt("IsTutorialCompleted") == 0)
                StartTutorialScene();
        });

Thanks advance for help, if you want any screens from console, i will bring that for you.

The SHA key is matching, when i upload game to store everything is ok, the app Id is ok in terms of resources for GPG, but i got news questions. Did i have to change something in the android manifest and did i have to publish the game to be ready to test or i can test on Alpha stage ?