You have been moving files from a search for all photos on your Mac.
You screenshot is showing a search for each and every item on your Mac with the word Adobe in the name or the path to the item.
This may have removed photos needed by Adobe software from the application support of the particular program. For the particular thumbnail you selected in the screenshot you can see the original place in the path bar at the bottom. It is a file from ~/Library/Containers. this is the sandbox, where running applications exchange data and the files there can be recreated. and is safe to delete.
But the search could easily have shown you files and folders in other caches or inside applications, that are needed to run the applications. You must not delete the items, before you now if they are needed. as I said before, move them to some folder "dragged items", to keep them safe. Preferably use a folder on your system drive in your home folder, and drag the items there, so you do not copy them. The problem is, that is impossible to tell, where you removed them from, because you started with an "All Photos" search. And the saved search seems have to lost the focus - as far as I can tell, this folder in question does not have Adobe in its name.
Never delete or move photos from a Finder search window, at least, without looking at the path bar at the bottom, so you know exactly, what you are deleting.
As long as you just drag files between folders on the same disk, the system may find them again, if they are missing from some folder. So moving them to some folder on your system drive may take care of missing items in system folders.
If you still encounter problems with missing items, when you run some application or open a document, it will be safer to restore your Mac from the last backup you made before you dragged thumbnail images around. The thumbnails now can be missing from each and every application support folder on your Mac, from Pages or Powerpoint documents, from mail attachments etc.