So German-Hungarian relations.
Not sure where to start because there are things reaching back to the late 19th century but I don't want to ramble too much. It is also really hard to get to some kind of "truth" in this question as the post-war communist propaganda and history writing did lot to muddle the picture by demonizing the Germans and making pathetic bootlickers of the Hungarians, but the interwar and wartime propaganda of both sides did the same from the other end by painting the situation overly jovial and comradely.

Maybe I should start with the mood of the officers.
Because of the historical background there was some camaraderie and the war propaganda played this card as well. Most of the Hungarian officers were pro-Germany and very anti-communist, they very much admired the German war machine and it's efficiency so that helped oiling the wheels. However some interactions put some sands in there as well
I believe five types of German officers existed: 1. indifferent towards us, 2. hated us for previous experience, 3. loved us for previous experience, 4. hated us without previous experience, 5. loved us without previous experience.
Hungarian units were subordinated to German ones, either to a higher command in an army group or one of the neighbouring army HQ was in charge of the Hungarian army next to it (kinda). How they functioned together was largely depended upon the predisposition and the character of the German commander in charge. With zealous hardasses who frowned upon everyone cooperation was poor (I think in the case of the 2nd Hungarian Army at the Don and in the aftermath), those who had friendlier attitude things went much better (1st Hungarian Army in the Carpathians).
The lackluster equipment and underpoweredness of our units didn't make good first impression and generally the Hungarian soldiers and officers didn't find attractive the idea of dying for Herr Hitler on the say so of the OKW/OKH far from Hungarian border after the Barbarossa turned into assorabraB I mean when the front started to move toward west. In Russia some German officers labeled our troops cowards when they rather chose retreat instead of holding pointlessly ground "to the last breath". Some German officers for their own shortcomings tried to shift the blame onto the Hungarians, sometimes with success. It was quite different when the fights happened at home and the opinion of German officers changed accordingly, tho they themselves lost much from their haughtiness as well by then.