It's Daria from Ecwid Customer Care team.
I've checked your website and tried using the search bar. Here is what I see when I search for "cars", see the screenshot http://take.ms/3rREM
So, you want to display the pop-up with search results lower on page, right? That can be done with a CSS code. Try using this one:
Add it to Ecwid Control panel > Settings > Design > CSS Themes > your active CSS Theme. Add it at the beginning of the theme and remember to click "Save" button.
Alternatively, you can display search results on a separate page. To do so, you should use so-called "ecwid_ProductBrowserURL" option. You can see instructions on how to implement it in our article here https://help.ecwid.com/customer/portal/articles/1113341
If you need any further help with your Ecwid store, you are welcome to ask on our forum here https://www.ecwid.com/forums We'll be glad to see you there!