After version 0.134, beacons in space don't work correctly. By that I mean the fact that they have a different name ex. "KI3 Beacon (Space)", their modules can be edited without interacting with KI Core and their range is significantly smaller. I'm not sure if it's this mod's fault but on version 0.132 and older everything worked correctly
I tried to replicate the bug by creating a world and setting up all the KI Cores with modules and their respective beacons in version 0.1.32, then updating the mod to 0.1.34. Everything works fine. Do you have any other mods installed?
Beacon has dependency 248K Redux > Combat mechanics overhaul > AAI Industry > Space exploration > 248k Redux. The bugged one has only Space exploration. Beacons in space that were placed after the update are bugged while the ones previously placed work correctly. I tested it on Space Exploration only and its dependecies and it is still bugged.
After trying with SE, I saw the bug, and I believe it is because the script GUI is broken with SE. Without it, the mod works fine, so I will be working on it.