So, I haven't found any troop tree, but I kinda checked in custom battle what kind of army factions seems to offer. If someone is curious :

Han : crossbows, spearmen and regular cav, they seem pretty average everywhere, with no weakness/strength
Zhao : cavalry faction (archer oriented it seems). Felt weaker than Liao.
Liangshan : Kinda like vanilla Vaegir : light infantry, archer and cav. They felt rather weak
Sha : inf heavy (no cav ?), with 2h, kinda like Nords vanilla
Shu : kinda like rhodok vanilla (sharpshooters + 2hspear/shield1h inf)
Jin : throw "archer" and camel
Liao : cavalry faction (more melee oriented)
Song : light infantry, archer and moderate cav.
Wu : armored archers, infantry and cav. Feel like Swadia vanilla, defensive oriented with good cav and average everything.

I've been playing for a month now, and I can tell you their strengths.

Hans, best lance Cav,

Zhao best horse archers, they're also GODS in Sieges. And go pretty toe to toe on the field since they also get couch lances.

Liao, not sure where to put them, but their best unit is lance cav. They actually REALLY suck in sieges. On the field they easily kill everything lancing them, but yeah.

Liangshan has best archers in the game

Song, next best. They tend to have crossbow units with them. Heavy hit, slow attack so don't use a lot of bolts too quickly. Better for sieging rather than defending since in this mod archers get unlimited projectiles when defending.

Jin Medium range heavy damage archers. Their draw back is they have very few projectiles. They're essentially anti-cavalry.

Sha - Basically a bruiser infantry, they have medium armor, and heavy damage.

Chu, they're a mixture of heavy armor with huge shields, or two two-handed weapons... Not sure why that is though... They're alright I guess... Infantry is their best

Wu, as you said before heavy armor cav. Very tanky

Shu heavy armored infantry with spears. Great for anti-cav and attacking sieges because it's a lot harder to kill them. Definitely a first in unit.

I've played a bit, and it's worth noting the Shu have the Cho Ko Nu (crossbow that can fire several bolts before being reloaded). They are kinda similar to the Chu, but it seems they are more crossbow focused, while Chu is infantry first. Honestly, I played both in campaign, and Shu tend to get trashed by Chu in combat.
Sadly, the Shu crossbowman are not utilizing the full potential of the Cho Ko Nu, IE unloading several volley at once, as they spend a lot of time between shots, despite having no reload to do. And their infantry is murdered by the Chu equivalent.

So, its actually my first time posting something here lol.
I created a list with each faction's troops (the max level ones) and it's pretty simple but it gives a nice foundation :D Feel free to correct it if i made any mistakes.

OBS: Mounted troops with lance+shield have two different behaviours.

1= If you DISMOUNT him but you ARE STILL MOUNTED, he will use his lance to stop your horse, which is good most of the times, except if he's in the middle of a clusterfudge or troops and cant do nothing cause enemies/allies are too close to him.

2= If YOU GET DISMOUNTED, he will switch to 1h+shield-2h-1h. Which is very nice, considering lance and shield are bad when on foot against foot soldiers.

OBS2: (M) Mounted - (DM) Dismounted

OBS3: I have 3 leadership, so LIANG values will vary. They are just for comparison as the troop wage are calculated based on the troop's level. (I'm not sure tho)

---Han
Han Infantry(17) Polearm
Han SharpShooter (26) Crossbow
(M)Han Cloak Knights(72) 1H + Shield (D and DM)

---Sha
Sha Axe Champion (26) Trowing Axes / 1H + Shield
Sha Rattan Armour Guard (46) 1H weapon

---Liangshan
Liangshan Guard (26) 1H + Shield
Liangshan Sky Archer Master (43) Bow / 1H + Shield
(M)Liangshan Sky Knight (56) Polearm - He has no shield and only uses swings with his polearm, that's the same when DM.

---Zhao
(M)Zhao Veteran Lancer (43) Lance + Shield (M) / 1H + Shield (DM)
(M)Zhao Eagle Veteran Ranger (72) Mounted Archer (Bow) / 1H + shield - ( This one is kinda funny, in sparing mode he comes at you with 1H + shield, then if you switch to a ranged weapon while still mounted, he will change to his bow, or if you dismount yourself he will also use his bow, and if he is far enough from you (something like 5 horses away) he will also use his bow. And the only way to make him switch back to 1H + Shield is if you dismount him and get close enough)

---Shu
Shu Sharpshooter (34) 1h+Shield / Repeater Crossbow (fires 10 bolts with the frequency of a BOW then reloads for the same time as a regular CROSSBOW) << Pretty OP lol
Shu Guard (43) 1H + Shield

---Wu
Wu Archer (17) Bow / 1H Weapon
Wu Guard (26) Polearm
(M)Wu Dark Knight (72) Lance + Shield (M) - 2 Handed Mace (DM) (Can crush tru blocks with overhead atack)

---Song
Song Veteran Guard (34) 1H + Shield
Song Archer Master (43) Crossbow - 1H + Shield
(M)Song Knight (43) Lance+Shield(M) - 1H + Shield (DM)

---Liao
(M)Liao Ranger (43) Bow / 1H + Shield (Same behaviour as Zhao Eagle Veteran Ranger)
(M)Liao Wolf Knight (72) Lance + Shield (M) / 2H Weapon (DM)

---Jin
Jin Infantry (17) 1H + Shield
Jin Wind Throw Master (43) Javelins / 1H + Shield
(M)Jin Ge Knight (56) Polearm + Shield(M) - This one does not switch to 1H+Shield when DM, which makes him pretty bad when DM, but he has a nice atack reach when mounted, considering he can slice instead of just thrusting.

---Chu
Chu arm Sharpshooter Master (34) Crossbow - Polearm
Chu Heavy Shield Guard (43) 1H and Shield -Polearm (he uses only the polearm in sparring mode, but he uses the shield+1h in actual battle)

This is a very basic overview, each troop has it's own weapon masteries, status, skill, equips and sinergy. Also I just starded playing today and the first ting I did was this list so take this into consideration :D