"German Control" is a relative term...already in 1941-42, A-G Cr. was already doing work for the German WaffenAmt, by producing Prototypes of the Koucky ( pron. "Koutski") Semi-Auto rifles, developed pre-war in ZB, in Czechoslovakia).
Several models of Gas operated SA rifles were produced, identified by "ZK" numbers, 41x,42x etc. (see SAOTW for Photos)...the design, which was very modern, did influence the Design of the Gew43, but the Czech/A-G guns were not proceeded with by Germany...after the War, a re-vitalized ZB tried out quantities of ZK481, using the experience gained with the A-G and Gew43 rifles. This too fell by the wayside, in part, due to the Communist takeover of Czechoslovakia, but the Vz52 SA rifle incorporates most of the ZK481 features.
After September 43, Cremona, being North of the "Line" was occupied by German Troops, and a lot of equipment and stocks of finished rifles were "Lifted" out to Germany by way of the former Austria. Production seems to have continued after some settling in of the New regime (RSI and Germany in the North) but from my latest Historical readings on the formation of Republican Military units in the North under German "permission", production for the Italian units was patchy at best...most of their arms were acquired by scrounging discarded rifles etc, and raiding old and forgotten Depots, and in one case, even tricking the SS out of a warehouse of Beretta MAB38 SMGs and ammo. ( Decima MAS stunt)
Arma-Guerra did not survive the end of the war, and its factory location ( abandoned for many years) is now a Housing re-development, after some 60-70 years.
For sure the Germans lifted most of A-G's equipment and Know-how by 1945, and what they could not take away, they destroyed.