The magnifier could be a simple CSS conflict. This should force the correct order:
.asp_m_3 button.promagnifier {
order: 11 !important;
}I recommend custmizing the results page, where you can simply access the results via the WordPress loop as usual. For a single page (like on your linked page) there is no such thing as results, because the results are requested within an XHR ajax request after the page is rendered and injected to the results container via javascript, so they do not exist during the page load.
You can customize the live (XHR ajax) results list via the advanced title and content fields, as well as via the results templating feature, that will affect how the results are returned from the ajax request.