With Tornado 3.2 they made some updates to auth module and have updated the code. Earlier I was using open id for Google login, since it will be deprecated in the future I am switching the code to Oauth 2.0 login. Also I was using tornado.web.asynchronous, now I have updated the code to use tornado.gen.coroutine
/products is only available for logged in users. Once the user is authenticated from Google or Facebook, a cookie called 'trakr' is set. In implementation of get_current_user() whether 'trakr' is set or not is checked. 
class BaseHandler(tornado.web.RequestHandler):
    def get_current_user(self):
        user = self.get_secure_cookie('trakr')
        if not user: return None
        return True
class FAuthLoginHandler(BaseHandler, tornado.auth.FacebookGraphMixin):
    @tornado.gen.coroutine
    def get(self):
        if self.get_current_user():
            self.redirect('/products')
            return
        if self.get_argument('code', None):
            user = yield self.get_authenticated_user(
                redirect_uri=settings.fb_redirect_url,
                client_id=self.settings['facebook_api_key'],
                client_secret=self.settings['facebook_secret'],
                code=self.get_argument('code'))
            if not user:
                self.clear_all_cookies()
                raise tornado.web.HTTPError(500, 'Facebook authentication failed')
            user = yield self.facebook_request("/me", access_token=user["access_token"])
            if not user:
                raise tornado.web.HTTPError(500, "Facebook authentication failed.")
            self.set_secure_cookie('trakr', user.get('email'))
            self.redirect('/products')
            return
        elif self.get_secure_cookie('trakr'):
            self.redirect('/products')
            return
        else:
            yield self.authorize_redirect(
                redirect_uri=settings.fb_redirect_url,
                client_id=self.settings['facebook_api_key'], 
                extra_params={'scope': 'email'}
            )
class GAuthLoginHandler(BaseHandler, tornado.auth.GoogleOAuth2Mixin):
    @tornado.gen.coroutine
    def get(self):
        if self.get_current_user():
            self.redirect('/products')
            return
        if self.get_argument('code', False):
            user = yield self.get_authenticated_user(redirect_uri=settings.google_redirect_url,
                code=self.get_argument('code'))
            if not user:
                self.clear_all_cookies() 
                raise tornado.web.HTTPError(500, 'Google authentication failed')
            access_token = str(user['access_token'])
            http_client = self.get_auth_http_client()
            response =  yield http_client.fetch('https://www.googleapis.com/oauth2/v1/userinfo?access_token='+access_token)
            user = json.loads(response.body)
            self.set_secure_cookie('trakr', user['email']) 
            self.redirect('/products')
            return
        elif self.get_secure_cookie('trakr'):
            self.redirect('/products')
            return
        else:
            yield self.authorize_redirect(
                redirect_uri=settings.google_redirect_url,
                client_id=self.settings['google_oauth']['key'],
                scope=['email'],
                response_type='code',
                extra_params={'approval_prompt': 'auto'})