EDENCOM is the poorly handled and apparently corrupt organizational body through which the empires organized their defense against the Triglavians.
EDENCOM being complete ■■■■ however, does not mean that they’re not wielding the power of the empires’ navies. They clearly do. It was the Republic Fleet, the Imperial Navy, and Federal Navy flying under the EDENCOM banner doing the actual fighting (and the State Navy under the EDENCOM banner flailing around incompetently). When you’re fighting EDENCOM, you’re fighting the empires.