They let essentially college students feeding questions to LLM access data they never should have had access to and then let them decide the details of cutting at the broad direction not to save money but cut the things that the administration just didn't like, without regard for law.
Ultimately resulting in no significant savings, lots of good work being undone to the point of people dying for lack of aid.
In theory, a well experienced group operating within the confines of law to identify inefficiency with how the mission is accomplished might be good. DOGE was not this.
The biggest and most obvious clue, it was all Musk wanting to backronym something to DOGE. Nothing good comes out of musk trying to so something like a 14 year old kid would.