First off, thank you for the information Irose it is very helpful. The post paints a fairly accurate picture of the Inner Sphere's militaries prior to the outbreak of the First Succession War. Good stuff.
If I understand what you are looking for is more basic numbers, rather then specific units-
The CCAF had 129 regiments in either 2785 or 2799 (the material is contradictory- one source says the CCAF had 129 regiments at the start of 1st SW, the other says the height of the CCAFs size was in 2799 when it had 129 regiments -implying they actually added regiments between 2785 and 2799! )
You know, after reading this two interesting ideas came to mind.
One, we know the Draconis Combine would inflate, if inflate is a good enough word to describe, the number of available regiments by conscripting "Chain Gang"-type regiments of troops. While their use was only mentioned once, there's nothing in the canon to suggest it was a radical or "new" idea. It's also true that the equipment in these formations could barely be considered functional, but they did serve a purpose. More importantly, Chain Gang regiments could be considered viable formations in the DCMS despite their despicable origins. So it's quite possible the Capellan Confederation grew the total number of organic military units in a similar fashion to help consolidate their hold on former Terran worlds.
Alternatively, Liao could have come across additional stores of equipment during their drive through Hegemony space - thereby providing enough new material to produce additional regiments. Since the material doesn't state the quality of the units in question, the actual number of regiments may pale in comparison to their actual worth.
There's also the possibility that the Confederation picked up some additional ex-Terran troops - not the units listed in the SLSB either. We know New Dallas's militia was loaded to the gills with some serious firepower and decent equipment stores. From what I could infer from the material, worlds like New Dallas weren't an exception in the Hegemony. House Liao could have absorbed some Terran militias, or enough ex-SLDF troops individually.
Still, without a baseline for comparison, this is all loose conjecture.