Found at least a partial solution to my question. The package "everything-tracker" needs to be installed to have a file locate capabilitity in Run Everything.
After installing this package and restarting Enlightenment, I now have the ability to access recently used files in Run Everything. But the caveat appears to be the recently used file must be accessed through Run Everything. That is, if a file is opened by way of the File Manager (pcmanfm), Run Everything will not know about it and does not show up as a recently used file.
Still trying determine how to setup Run Everything to locate any file, not just recently used files.