The Austro-Hungarian army was well organized in its paperwork. Each request for a medal would go through the hierarchy and be kept in the personal record when awarded. It would depend on the level of the medal in which stage of the hierarchy the decision would finally be made. For the Golden Bravery Medal a separate register was kept that still is available as a reference in the Vienna Military Archives.
After the medal was awarded the person would receive an award paper (Legitimation) confirming the award which should be worn on the person (to be able to proof the medals that were actually worn in the field). The standard place to keep these papers were the small ID capsules each person would wear. This made it necessary to make the documents very small. Here are some examples.
Some units made more elaborate documents available for their men in a larger size. These are not standard and not official but relatively rare and desirable.
Personal files were partially lost in the 2nd world war and also these were split between the different states that resulted from the end of the Austro-Hungarian empire. The Honved related files are mostly in the Hungarian Military Archives in Budapest and most others in Vienna and some in the other states. Here an example of Bravery medal related request as found in these archives.
More about the research on one person can be found in this earlier blog: Vitéz Horvath Janos winner of the Golden Medal for Bravery, WW1 Austro-Hungarian Army
An interesting secondary source for Hungarian WW1 bravery medals related info are the Vitezi rend yearbooks in which also medal lists are published.
Go here for part one: The Austro-Hungarian Bravery medals in WW1 – part 1: History and Medals
And here for part two: The Austro-Hungarian Bravery medals in WW1 – part 2: exchange with the German Iron Cross