Search shortcode

Hello.
Is there a way to add the search directly into the view?
For example:
https://www.joomunited.com/wordpress-demo/wp-file-download-default-theme/#30-wpfd-default-theme-category
In this link I see the default view but it has no search functionality or filters. But if I go here:
https://www.joomunited.com/wordpress-demo/wp-file-download-search-engine/
I see the search and filters but with table view. Could we just add the search and filter functionality within an existing view?
Please note: I do not mean to add 2 shortcodes, which would be one search and one view. In this case they would have the search which is not connected to the view of the other shortcode.

Thank you in advance.