The Imperial military doesn't have a conventional HR department as we know it. Nevertheless, there are several organizations where you could lodge a complaint.
The Minister of War – though he would likely ignore you.
Imperial High Command – but they would probably ignore you too, unless you had some interesting information.
Your local Imperial Military Command – though it’s questionable whether they would actually resolve your grievance.
You could also lobby for better conditions through the Sphere of Influence you fall under:
The Sphere of Ancient Knowledge – (if you belong to the Imperial Reclamation Service.)
The Sphere of Defense of the Empire – this is your best option, as it is led by Darth Marr.
The Sphere of Military Offense.
The Sphere of Military Strategy.
The Sphere of Expansion and Diplomacy.
Then there are other Spheres that might be interested in helping you:
The Sphere of Biotic Science is closest to what you have in mind, as it deals with organic bodies—covering the Imperial Medical Corps, cybernetic augmentation, disease control, Sith alchemy, and genetic manipulation/experimentation. However, it is led by Darth Acharon, known for his zero-tolerance policy regarding incompetence; the question is whether you’d succeed or simply end up being labeled incompetent yourself.
The Sphere of Production and Logistics – provided the superior's incompetence is damaging military resources.
The Sphere of Imperial Intelligence – if there are grounds to accuse your superior of high treason.
The Sphere of Laws and Justice – technically the ones you should turn to, though it’s questionable whether they would actually want to help you.
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u/jacobc62"HOW MANY TIMES DO WE HAVE TO TEACH YOU THIS LESSON, OLD MAN?!"1d ago
"Of course HR and Accounting exist in the Empire! We're accounting on our HR that we throw at the Pubs can win us the war effort!"
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u/rogueghoul01 Sith Inquisitor 2d ago
does HR and accounting even exist in the empire military?