Trade-Ex has Carcano brass and generally they have the x54 Mannlicher-Schoenauer cases as well.
You can make either one at home by opening out .220 Swift, turning the rim, recutting the extractor groove and fire-forming.
That said, it's good to know..... but easier to get the right stuff.
Set triggers, bulbous pistol-grip (made from original fore-end wood) an single-range rear sight identify this positively as a Cooey.
They were reworked WWI Italian rifles. They chopped the original barrels, left the stub in place and threaded the inside of it, then screwed in a new chambered tube, headspaced it like that and put in a set-screw to keep the barrel inner from working itself loose. There were serious troubles with these rifles, but there is nothing wrong with the actions nor with the barrels. I think the problem was CATS stealing the tiny set-screws when Uncle Bob tore the thing apart on the kitchen table (as was his wont), dropping it on the floor and not being able to find it in the light from the kero lamp on the wall-sconce. Then the Cat would bat the interesting little thing under a cabinet and Uncle Bob would slap the rifle back together MISSING AN IMPORTANT PART. If the barrel inner backed off a bit, you had a tilted front sight and you can't shoot with that..... but you also had the beginnings of a dangerous headspace condition up inside the action.
Or the problem COULD have been wrong ammo. The two cartridges are very similar: 6.5x52 is the 1891 original, 6.5x54 came out in 1903 for the Greek military, very much peas-in-the-same-pod and differing only by neck length. Original Carcano round was 100 ft/sec faster, used a .267 bullet. I am wondering what would happen should a hot Carcano round with its oversize slug and ballistite charge accidentally be used in a Cooey with the barrel turning itself slowly out.
There is a thread in THIS forum in which ANDY tortured one of these poor things to death. It was TOUGH, took a terrible beating before it finally was put out of its misery. IIRC, the thread was called "The Dangerous Cooey Carcano". I have NO idea how to do that link thing to an article but it is WELL worth reading.
These are a very-much maligned piece of Canadian history. In good condition they are darned near the perfect little Moose carbine if you can shoot: that bullet has penetration that nothing modern can rival.
YES the stock can be fixed. Disassemble, clean the wood inner surfaces with brake-drum cleaner, epoxy with Acra-Glas Gel and clamp lightly, clean-up the following day. Then you finish the wood properly and get some good Linseed Oil back into it to help it toughen itself back to the way it was in 1913. Most Italian stocks in the Great War were good Italian Walnut and there is NUTHIN' wrong with it (if you have taken your heart pills, price out a nice chunk today!)..... except that it has dried out over the last 90 years in storage in a climate in which it dries excessively.
Likely it is slathered with old Grease. If it won't just wipe off (big chance!) slather a bit of Extra Fine grade steel-wool with Hoppe's solvent and get it it like that, down to bare metal and then oil lightly and reassemble.
Check the bottom of the Chamber to make sure the little set-screw is actually there and that it is tight. DON'T let the Cat get at it: you will NEVER find another!
Fine little Unknown Canadian rifle. And your front sight isn't even made out of a King's penny as is mine! Wow!
Lucky dude!