The 8x56R Hungarian is not the same as the German Mauser 7.92x57JS round. (Note: the JS stands for heavy ball, spitzer bullet, .323 diameter -- early cartridges for the Mannlicher M1888 rifle had .318 diameter bullets.)
The Original Steyr M95 rifles and carbines were chambered for an 8x50R cartridge. They were produced from 1897-1918 by Steyr for the Aurstrian-Hungarian government. From 1930-1940, the rifles and carbines on hand were rebarreled and modified to the 8x56R cartridge.
Like the 8x50R, the 8x56R is a rimmed cartridge. The 8x50R cartridge takes a .323 diameter bullet; the later 8x56R cartridge takes a 209 grain, .329 diameter bullet. Fresh ammunition is difficult to get. Brass for boxer primers is available for hand loaders from Old Western Scrounger.
The Steyr Model 95/30 rifles are 5-shot, stright-pull bolt actions and a very fast action to operate. The problem is getting fresh ammunition. Hornaday makes new JSP ammunition, but it is expensive at $24 for a box of 20 rounds. Most military surplus ammo dates from the 1930s and early 1940s. This stuff has corrosive primers and cannot be considered reliable. It would be suitable for breaking into components for reloading. Remember: rifle + ammo = shooting fun; rifle - ammo = club.