The abasside have in there armies 3 major power the arabs+,the persian-khorasanians and the turks(the turk served as body guards of the caliph).
the in the begining the abassides have there mawaly "mawaly bani al abbas" but i don't think that they play a great role

Cavalry
Arabs Noble cavalry(heavy cavalry not heavy as the andalucians)
Arabs light cavalry(missile cavalry)
Arabo-Persians cavalry (medium cavalry)
Berber cavalry(weapons:javelines and sword;round shield)
turkish ghulam:royal body guards(long spear armorred there moral mor than arab noble cavalry)
beduin cavalry:light cavalry with sword and a small shield very fast pursuit cavalry.

Infantry:
Mamaliks: heavy spearman.
khorassanian guards:heavy spearman(long spear, round shield armored).
Arab Infantry:medium spearman(long spear, round shield armored)
Muttawia:like al andalus.
Jund al tughour:light spearman can be used as levy they are recruited against byzantine or khazar attacks.
Arab warrior:swordman.
beduin warior:sword man

skirmish:
sarasin archer.
Persian archer.
bedouin javelineman.