[tkislan]

How would I go about setting up multiple Kodi instances? I know they need to be registered in Kodi Connect but I’m trying to understand how they need to be named and do any other settings, either in Kodi or Kodi Connect, need to match.

Thanks

Names are used by Alexa herself. If you name you device "Living room Kodi", then you can ask "Alexa, turn on living room Kodi", or "Alexa, play the Simpsons on Living room Kodi".
But, if you have one Kodi per Echo, it would probably be better to just name all of them "Kodi" (or whatever you like), and just change the description.
I'll add the support for description, as currently it's just a hardcoded string.

But to match Kodi instance to Kodi Connect page, you just need to use different Secret. As Kodi is identified by that Secret, and only one Kodi can be connected with one Secret. But you can add as many devices as you want on Kodi Connect page.