Those fields are supported by Weaver Xtreme, and it should generate those fields in all the proper locations.
Unless you’ve created some custom HTML in you content, it is the job of the theme OR a plugin to generate the correct HTML to make the Google Tool happy.
Now, it IS possible that we missed generating the correct HTML tags for every single instance. Or it could be a plugin.
There is probably nothing you can do. A link to the site generating those errors could help us determine if we missed those tags in some cases. And a better explanation of what you mean by “Google Search Console” would help us, too – hard to know exactly what tool you might be using.