Still a little unclear on how you "deleted" layers using the cut option. I can't figure out how to get pro to delete a feature class without cutting and pasting it to a different database. Just selecting cut without a subsequent paste just ignores the cut operation and leaves the data there. However, if I cut, then paste the feature class, it "moves" it from the cut folder into the paste folder.
In any case, may be too late now, but you could try the windows key + "V", which on some computers keeps recent history of the clipboard, and you could try to paste the cut data back to where it belongs.
another options, if there is a restore point set up on the computer the data was saved on, you can try windows explorer to navigate to the folder, right click the folder and get properties. Look in the previous versions tab.
If there is a restore point on the computer, you will see snapshots of that folder from various dates, and you can copy/paste the last known good one.
R_