Hey Photios,
Thanks for reaching out to us!
It looks like the options there are different from the default options available within our tribe bar? If so, the simplest thing to do would be to create a custom search form there. I am limited on the support I’m able to provide for customizations such as this but I’d be happy to help get you pointed in the right direction.
You could take a look at something like http://wpadvancedsearch.com/ to see how it works and update the information from there. Or you could take a look at the default searchform.php and modify from there. The key here would be to add the additional fields for your categories and “type”.
Not exactly sure what the intention with the “type” is but the category (if you’re wanting to limit to events) would utilize the “tribe_events_cat” for the name of that select field which would allow for the additional “?tribe_events_cat=” to be added to the search query.
Let me know if this helps.
Thanks!