Hello,
Thank you for contacting Rank Math support, and sorry for any inconvenience that might have been caused due to that.
Please ensure that you are using the latest version of Rank Math plugin. If not yet, please do update them. You may refer to our changelog page here: https://rankmath.com/changelog/
Then head over to your WordPress admin area > Rank Math > Titles & Meta > Authors, and ensure that you have enabled the Author Archives option:

If that doesn’t work, head over to the affected pages, remove the current schema there and add it again.
Clear your website cache and check it again in your Google Search Console.
Let us know how that goes. Looking forward to helping you.
Hello
I just reset it according to your method
But the problem still exists
I use the webmaster, (GSC) and still the URL field is not filled in, as shown in the picture below↓
https://ibb.co/nMpbHSg
Please help me solve it again, thanks
Hello,
I’ve checked the same page, but it seems to be working fine. Here’s the link:
https://search.google.com/test/rich-results/result/r%2Farticles?id=d6UqXd-9UAFeV5hmDCDZPw
Please clear your website’s cache before checking. If you’re still getting this error in your GSC, please revalidate the issue in your Google Search Console account and give Google some time to recrawl your site.

Let us know how this goes.
Thank you.
Yesterday I turned on Local SEO and it returned to normal. It seems to be no problem for the time being.
Hello,
Thank you for the update.
We are glad it worked for you.
If you have any other concerns, please don’t hesitate to contact us anytime to assist you further.
Looking forward to helping you.
Thank you.
Hello,
Since we did not hear back from you for 15 days, we are assuming that you found the solution. We are closing this support ticket.
If you still need assistance or any other help, please feel free to open a new support ticket, and we will be more than happy to assist.
Thank you.