My website name is not displaying on the search Console

Hello,

Thank you for contacting Rank Math and bringing your concern to our attention. I’m sorry for any inconvenience this issue may have caused you.

For troubleshooting, you can skip the Google connection process in the Setup Wizard.

Please verify using the URL prefix and ensure that you have verified the correct version of your website on the Google Search Console (HTTP or HTTPS, www or non-www).

You can follow our guide here to create the URL Prefix property:
https://rankmath.com/kb/google-site-verification/#num-1-1-open-google-search-console

The URL-prefix property also helps keep your sitemap in sync with Google Search Console as we submit it automatically for you. In addition, the domain property won’t work correctly on some sections of the Analytics module such as the IndexStatus.

Regarding the Analytics drop-down, could you please confirm if you have already created a GA4 property for your website?

If not yet, please visit this page (https://analytics.google.com/analytics/web/) and sign up for a Google Analytics account and property, then reconnect your Google Account so the new Analytics account will reflect in that section.

Looking forward to helping you.