I wasn't entirely sure whether to add this to Kagi feedback or Orion feedback, but I opted to post this here as there is no standalone "Kagi Search" app.
One of my most useful widgets by far on my phone is the "Search" widget from the Google app. This widget it simple - it is a search bar that can be added by a user to their home screen that allows for immediate, seamless search queries using Google. I use this widget several times a day, as I have it is the easiest way to quickly look up a small, sudden query that pops up in my head without having to spend the extra second opening up a web browser.
There is no such widget available, to my knowledge, for Kagi. This is a shame, as while I am a happy Kagi user and have set up Kagi to be my default search engine on my phone, I still find it much easier to use the widget rather than open a browser and use Google, which inadvertently leads me to barely ever using Kagi on mobile.
II believe adding such a widget would encourage users to use Kagi as their preferred engine on mobile platforms, instead of relying on the easiest alternative when wanting to do a quick search.