Hi David,
Google Rich Results are not related to search results in your site. Rich results refer to structured data on individual pages, which Google crawls and uses to distinquish when a google search is made. For example if a page contains business details metadata, then it is considered a business data page.
These are detected via specialized properties when an individual item or a page with these items is crawled. For example if you wanted job listings, then google looks for these item properties.