Working on the Cavalry Divisions currently, so this Thread is going to be finished in parallel depending on found sources.
Just a short starter to see what's going on. Post will be expanded later on.
41 Cavalry Corps 12/1941
Date the same as Cavalry Division 12/1941.
The Corps seems to have been built from 3xDivision+no SUs.
Here the Corps seems to have 26x20Men (520Men) as Support additional, representing HQ Staff and so on.
Checking the CttRA:
01/1942 Corps is given as 294Manpower (109xCorps HQ + 185xSignal Btl.). 42 Cavalry Corps 07/1942
Date the same as Cavalry Division 07/1942.
The Corps seems to have been built from 3xDivision+SUs.
Here there are 123 Support (2460Men) as Support for SUs, Staff and so on included.
Using the figures provided in the Strength reports:
Mort(120mm): (779-(32x6Men))/20=29.35Support
AT(45mm): (587-(12x5))/20=26.35Support
Art(76mm): (494-(20x5))/20=19.7Support
= 75Support
+50Support for HQ
=125Support
So it appears this Support Unit's +HQ/Staff manpower was actually properly accounted for!!!
Checking the CttRA:
06-07/1942 Corps (leaving out the three Combat "SU's" manpower) is given as 1021Manpower. 43 Cavalry Corps 02/1943
Date the same as Cavalry Division 02/1943.
The Corps seems to have been built from 3xDivision+SUs.
As with the Rifle Corps, the additional Corps assets/SUs come with no additional Support (in this instance this is even worse, since the Support is even lower than 3xDivision would have!).
So the Support is missing for:
- 24x76.2mm AT Gun
→ I assume this is about the OB:2148 (altough this was only introduced later...), which contained 24Pak and 24PTRD with 492Men.
...should therefore be about:
492-(24x2+24x6)=300Men/20=+15Support - 16xDShK+16x37mm AA Gun
→ Light AA Regiment (like in an AA Division) from 02/43 till 04/44 it had exactly 16+16 (the 37mm then expanded +8 (which is perfectly matched by the following 1944 Cavalry TOE)).
1943 had 396Men → (396-(16x8+16x6))/20=+8.6Support
(1944 had 518Men - following TOE) - 21xSU-76 SPG Light Tank Destroyer
→I assume this is supposed to be OB:2152
This OB is missing +1 BA-64 Armored Car!
This OB has +9Support.
So in Sum this TOE should get Support Squads added:
+23 (to equalize Divisions)
+50 (HQ/Staff)
+15+8,6+9
=+109Support
+1 Armored Car
Order for the spring/mid 1943 Corps:
https://www.soldat.ru/doc/gko/text/3251.html
44 Cavalry Corps 02/1944
Date has no Cavalry Division TOE.
The Corps seems to have been built from previous 3xDivision+SUs.
As the prior Corps it s not even reaching the 3xDivisional Support, has some of the prior SUs and gets additional ones without getting additional Support. True magic those Soviets.

+ 18 Recon Squad (new) (???)
+ 18 Sapper Squads (~250-300Men)
+ 12 120mm Mortars (1/3rd of a Regiment → +~10.67Support)
+ 8 Rocket Launchers (new) (around 10Support)
+ 3 DShK [see 85mm AA]
+ 8 37mm AA (518Men-(24x6))/20=18.7Support
+ 12 85mm AA (new) (Heavy AA Regiment had 4 Batteries 490Men [here 3 instead of 4 Batteries], so 490x0,75=367,5=368→12x7Men+3(DShK)x6Men=102Men→368-102=266/20=13,3Support
+ 5 Armored Cars (???)
+ 15 Tanks (and new type) (???) → according to this Source the Divisional Tanks wee reduced to 21xT-34 during this time, so the actual totals for a Corps may have been as low as 63?!
Calculation WIP - but should be at least 70 additional Support to the calculation before
GUARDS
The Guards TOEs seem to be more or less the same as the regular TOEs (only exception seems to be Sapper Engineers in the 42 TOE(?), not sure why this additional sappers disappear afterwards).
From looking at the strength reports GUARD Corps seem to on average have had more Support in HQ/Staff.
My suggestion:
Apply on Cavalry Corps general Rules...
TOE 07/1942 onwards...
Regular Corps: 1000Men (+50Support - HQ/Staff)
GUARDS Corps: 1300Men (+65Support - HQ/Staff)
TOEs before 07/1942...
Regular Corps: 540Men (+27Support - HQ/Staff)
GUARDS Corps: 660Men (+33Support - HQ/Staff)
Errors/Issues:
OB:2216 42 Guards Cavalry Corps has less Support (465) than the regular 42 Cavalry Corps (495).