Is Gmail going to 2-step verification?
Google will turn on 2-Step Verification soon for many accounts. Using a second step to sign in is quick and easy, and it makes your Google Account much more secure.
Why wont my two step verification work?
It may be because the time isn't correctly synced on your Google Authenticator app. On the next screen, the app confirms the time has been synced. You should be able to sign in. The sync will only affect the internal time of your Google Authenticator app, and will not change your device's Date & Time settings.