Custom domain doesn’t show the result but webflow domain does

non-Webflow domain search is not working. (search is working here) (not here)

Here is my public share link: LINK
(how to access public share link)

Your site has some programming issues,
the main one is that you are using jquery in your <head> area, before the jquery library is loaded.
Move that to </body> custom code area, and wrap it so that it executed when jquery is ready.