Looks like a bug. You have it on on the demo site as well.
This is how it should be.
1. Go here: http://wp-dreams.com/demo/wp-ajax-search-pro/
2. Type ‘fefefethhr’ in the search filed (something that for sure will not produce any results)ry
3. You’d get the correct no results messge
Try doing the same sequence here: http://wp-dreams.com/demo/wp-ajax-search-pro/horizontal-layout/ and you would get the strange result (as shown in the attached file)
Please let me know how to fix it, I have the same on my site.
Thanks.