Hi,
If this is only a singular page (like an actual page or a post), then filtering it is not possible, as it has to be an archive loop. The only exceptions are the Elementor Pro Posts and Product widgets, those can be filtered on single pages too.
For archive pages (like category, post type etc..), you can use the archive page live loading features.
If you are looking to make a custom results page, then I recommend customizing the actual search results template (search.php file in the theme directory), and then using the plugin live loading feature there. That way the results page is used correctly and plugins will be able to hook into it easily.