With Cypress, you can easily create tests for your modern web applications, debug them visually, and automatically run them in your continuous integration builds.

Cypress Community

Hello, the goal is to test the ability to login 
yes after being connected the user should be redirected to a different domain where we see the avatar of the user but in my case when cypress clicks on loggin button, there is a redirection to another domain but we still not be connected :/

There are limitations when trying to redirect to a different domain with Cypress because currently only one domain is supported. You can use programmatic auth to get around this issue: https://docs.cypress.io/guides/testing-strategies/auth0-authentication#Auth0-Application-Setup

Also, depending on the type of auth you are using we have examples recipes here: https://github.com/cypress-io/cypress-realworld-app/tree/develop/cypress/tests/ui-auth-providers

and here: https://docs.cypress.io/examples/examples/recipes#Logging-In