Thank you for the proper details.
I've looked into the theme structure, and it looks like that the wp-content\themes\weddingvendor\page-templates\page-slider2.php file is printing that filter bar, and it's not possible to override it without changing that file.
I have placed the search PHP shortcode there on line 96 of that file for you, currently is inactive. If you want to display it, just remove the html comment tags from that line, so it becomes just:
<?php echo do_shortcode('[wpdreams_ajaxsearchpro id=1]'); ?>
I recommend creating a child theme if there is no other way of placing the search bar there, you might need to ask the theme author if there is any. Otherwise this customization may get overwritten when the theme updates.Best,
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