TwitterAuthClient mTwitterAuthClient= new TwitterAuthClient();
mTwitterAuthClient.authorize(activity,new Callback<TwitterSession>() {

    @Override
    public void success(Result<TwitterSession> twitterSessionResult) {
        // Success
    }

    @Override
    public void failure(TwitterException e) {
        e.printStackTrace();
    }
});

@Override
protected void onActivityResult(int requestCode,int responseCode,Intent intent) {
    mTwitterAuthClient.onActivityResult(requestCode,responseCode,intent);
}