Thank you very much for the details.
Not sure how this data can be accessed by Ajax Search Pro because it is only one shortcode that opens the page which leads to an other page which leads to another page where the final data I want to see Results for is located.
I needed to re-read your original query, and just realized the sentence above. So if you place the shortcode on a page, I think the data might be possible to pick-up by the search. You can test it by placing the shortcode to a page, indexing the page and searching for some of the data should likely bring up the page – unless the shortcode is not processed at all, but that is unlikely.
However anything else, links leading to pages, data located outside of the scope of the page can’t be indexed.