Thanks for your response.
Yes, I’m using AJAX Search.

I attached an image to explain it better to you.

First of all, because of having multiple post-types, I would like to show post-type name next to the title of each result.
and then also I need to make the whole result container clickable. ( currently, just the title is clickable )

I can change the files on my own and it’s not a problem at all, but after the update, it will be restored to the default version.
is there any hook, or can I use template for that changes?

thanks for your help