On mobile, after selecting a result and using the "back button" (a back swipe in my case), Kagi re-opens the auto-complete menu, forcing user interaction to see the search results again. This can get a bit annoying if you are trying to quickly scan many results for a given search.
Note that "open in a new tab" is enabled for my results. The occurrence doesn't appear to be completely deterministic.
Screen capture:
I would expect the auto-complete menu to not appear when returning to the search results, after clicking a result.
A possible fix may be to blur the input field when a user selects a search result on mobile - preventing focus from being re-captured on returning to the search tab from the search result.