Woocommerce checkout with google-oauth2


We are using auth0 with WooCommerce (using your auth0 plugin). Woocommerce, allows the customer the ability to login/create an account during the checkout process. We would like, instead of redirecting the user to the auth0 login page, to embed login with google button in our woocommerce checkout page so the user can login using their google account or if the user does not exists, create a new user in auth0 and WP database. We are trying to achieve this using the auth0.js library invoking the authorize function, but the process is not working completely. The user seems to be created in auth0, but it’s not being created in the WP site. Could you please let us know if it’s possible to implement this feature?