Re: why is my phone is showing sync is OFF ?
Welcome to Android Central! Which device? You can often find the AutoSync toggle by swiping down the Quick Settings bar (use two fingers and swipe down from the top of the screen. Otherwise, go to Settings>Data Usage, tap Menu, and turn on Auto Sync there.
Now go to Settings>Accounts-Google>[your Google Account] and make sure everything you want synced is checked on.