OAuth 2.0 is a standardized authorization protocol, Auth0 is a company that sells an identity management platform with authentication and authorization services that implements the OAuth2 protocol (among others).
OAuth 2.0 is a protocol that allows a user to grant limited access to their resources on one site, to another site, without having to expose their credentials.
Auth0 is an organisation, who manages Universal Identity Platform for web, mobile and IoT can handle any of them — B2C, B2B, B2E, or a combination.
We mainly use auth 2.0 for session based security management at server side. OAuth 2.0 is an authorisation framework that enables a third-party application to obtain limited access to resources the end-user owns. It is about resource access and sharing. While https://auth0.com is a company that sells an identity management platform for authentication related task. So with the help of auth0.com services an app developer don't need to write code for login/registration/social login and its not needed to think about its security. Complete user management task manages by auth0 organisation.
OAuth 2 - is a standard or protocol to implement authorization for any kind of software (windows, mobile or web)
Auth0 - is a software product (cloud and on-prem), that implements the OAuth2 protocol. You can use Auth0 to simplify your
authentication and authorization requirements.