Did the Italian Co-Belligerent Army still use their old uniforms and weapons, even in small numbers? I cannot imagine that they were all issued the No.4 rifle. Logistically it would have been easier to let them use the arms they were originally issued and ha ammunition for.
During their initial battles at monte Cassino in 1943 and 1944, yes they wore their original italian gear and used italian wePonry. However, after monte Cassino and the decision was made to increase them to corps size, the Liberation Corp was pulled out of the line and fully reeauipped with British weaponry and uniforms, though keeping italian unit insignia and traditions, such as bersalieri feathers and such (but on british helmets). It was mostly a supply issue, it was too much of a pain for the allies to have to supply italian weapons and ammo and such to a small formation, so reeauipping them as they grew in size would ease that.
Now, italian units operating behind the lines, offloading munitions and such in Naples or such, continued to wear italian uniforms for the most part, though I have seen some evidence of them getting stuff like american helmets. Also, italian generals sometimes adopted the new british uniforms, and other times continued to wear the Royal uniform.
Pardon any spelling/grammar errors, I am extremely hung over right now.
Now that I am slightly less hungover and have clambered my way to my computer, here is a good pic of the Italian Liberation Corps during the liberation of Florence, these guys being Bersaglieri. Of interest is that they have retained their Beretta SMGs, one of the few italian weapons to make the cut after the reorganization.