SearX implementation on hugo website

I am trying to do search request via one of SearX instances from html search form located on my website and would like to get results relevant to my site, but things not rolling like they should and i get results covering whole web and not my website.

 <div class="widget-search widget">
	<form class="widget-search__form" role="search" method="get" action="" target="_blank" rel="noopener">
			<input class="widget-search__field" type="search" placeholder="{{ T "search_placeholder" }}" value="" name="q" aria-label="{{ T "search_placeholder" }}">
		<input class="widget-search__submit" type="submit" value="Search">
		<input type="hidden" name="sitesearch" value="{{ .Site.BaseURL }}" />

However google search [] returns proper results related to my site [].

Any suggestions from Hugo gurus?