ISSUE SUMMARY:
I would like to customize the search results that are generate from $resultHTML. Also, is it possible to change how the search results are sorted. I would like to sorted the search results based on a profile fired called rank

STEPS TO REPLICATE:
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RESULT
EXPECTED RESULT
BROWSER

Hi,

for search result view, you can customize it by using template override:
copy people.browse.php from /components/com_community/templates/jomsocial/layouts/ to /templates/[your frontend template]/html/com_community/layouts/ (create this folder if not exist)

after that you can changing that view.

but for changing the sorting its more complicated. you need to changing jomsocial core file and the changes will be disappear at upgrade process. this kind customization not recommended.

Regards