Hello @mplusplus,
Thanks for reaching out!
Since Yoast SEO 11.0, the plugin offers a vastly improved output of the schema data the plugin already generated before. It now connects all the separate sets of schema data together which makes it much easier for search engines to understand. You can read more about this here and here.
Yoast SEO plugin uses JSON-LD to add information about your site search, your site name, your logo and your social profiles to your web pages. You can find all the types of structured data that Yoast SEO premium can currently add to your site here: https://developer.yoast.com/schema-documentation/yoast-seo/.
Also, you can find all the Schema markups our plugins output in this page: https://developer.yoast.com/schema-documentation/. And to make customizations of your own, you may find this documentation helpful – https://developer.yoast.com/features/schema/api/
