Like all the other AA-soldiers, they were armed with the lovely Carcano carbines.
The so-called "Terni" rifles?
yep.
although I don't know if the ones sent to finland actually were short rifle version, any of the two carbine versions, or possibly a mix of them (some conflict of sources).
Anyway, length difference between the 3 versions is about 10 cms
but they were somewhat different in other aspects