Search-Auto-Highlight and Save

There's no built-in feature that does that in Acrobat. You can use the Search & Remove tool to mark text for redaction, and then replace those redaction annotations with highlights, using a script, though.

Another option is to use a script to do it all, like in this (paid-for) tool I've developed:

https://www.try67.com/tool/acrobat-highlight-all-instances-of-a-word-or-phrase-in-a-pdf