Display child term on parent term page

Hi,

I have created directory site using elementor ,cpt ui and search and filter plugin.

for categories i have created custom taxonomy business_type. Which have parent term like food,wedding and child terme bakery, wedding planner.

I have put search bar on hompage when user search for child term it will go to archive page which is working as expected.

But when user search for parent term like food and weeding. I want to show their child term bakery and wedding planner with img and url.

Can you please guide how to achieve this in elementor.
My whole site is completed just this is the issue where i m troubling around it.

Please provide solution