Regarding Torrio...even though we still dont have any official info if he was a made member of the US Mafia during his reign as one of Chicago's leaders, still we have info that he was close to the Mike Merlo regime and after the attempt on his life, Torrio returned back to NY. Later in 1954 he returned to Chicago as a peacemaker together with Genovese member Tony Ricci, which means that Torrio still held some stature and respectability in the US Mafia and possibly belonged to the Genovese fam.
I suspect that Torrio was a made guy early on. Who most probably get straightened out by NY before relocating to Chicago. (although it's possible he was inducted later in Chicago by NY.)
But either way, as you mentioned, after relocating back to NY he was indeed a respected, card-carrying member of the Lucky Luciano Family.