On the Pi, Kodi stores all its add-ons and settings in the .kodi folder (
/storage/.kodi on LE, depending on what distro you're running it may be in a different place, and note it's a hidden folder due to the .).
I'm not sure what OS your other device runs, but you need to find the equivalent location where Kodi stores everything on there:
Android -
Android/data/org.xbmc.kodi/files/.kodi
Linux -
~/.kodi
If all else fails a look in the
debug log (wiki) header on the system will tell you where things are stored.
What you need to do is copy the content of the .kodi folder from the Pi across to your other device, then you'll be as close to a clone as you can get. Note though that if files are stored in a different location or via a different reference method (like between Linux and Windows for example) then you can have problems. But in the worst case you can copy parts, and/or manually update things to repair the locations.
Note that depending on what you copy, you may need to re-enable add-ons manually on the new device (they will be installed but disabled - go into my addons and manually enable each one).
