rich snippets

You need to change the mark-up in your theme.

Example – https://urbanstoic.com/how-to-fix-google-hfeed-or-hcard-warnings

It’s not a WordPress SEO plugin related issue.

Thank you. Now I understand where search the problem, but I have a static site of a local activity, my page has no author and the date it is not important. Is it possible disable hatom-entry and work only with google webmaster tool rich snippets?

No.

If your page doesn’t contain the markup, the tool will state that your page doesn’t contain the markup.