Balance force components?

[low_bidder]

In WW2 the German especially had "paper" formations and then the "real" formation which was the one that actually went into battle. I read a book called "Panzer Gunner" in which the gunner was riding in a PzIII (G or H, with the short 50) in late 44 on the Western front. He claimed to have stayed alive since '42 because of that tank and the driver. The driver knew how to throw a track while going straight and slow. So when ever they got orders that would lead to them dying, the driver would do his thing and they would survive. That PzIII was destroyed by Jabo's a couple of months after D-Day. The gunner was re-assigned to Assault guns, the driver went into a retraining program for Panthers since he was a seasoned veteran. He didn't make it. The Germans were so short on equipment that the official TO&E was mostly rainbows and unicorn farts.
British commanders of battalions had quite a bit of leaway over their equipment.
If the Col like Kangaroos better then halftracks, that is what he got. The closest the Brits came to a standard was 3 75 gun Shermens and a 17lb Serman as a platoon. IF the Col, liked Shermans.
The Americans used the Combat Command system after about mid '43, IIRC. Each division had 3 combat commands, which were the staff and commo needed to command what today would be called a brigade. Formations were attached as needed. So even after a massive research project to determine just who had what when, it would double or triple the code of the game. Not worth it.