I could, i already listed the persian units.
The Macedonians have 3 units of each categories Foot, Cavalry and Mercenary. Also Artillery but only 2 types.
their foot units are the Hypospis wich are heavy sword infantry, the Peltasts, who are skirmishers (throws javelins), and the Sarisofor (the Macedonian Pikemen, i think it comes from Sarissa the pike they carried).
Their Cavalry are Cataphractus, heavily armoured cavalry (not like cataphracts, they have golden breastplates and their horses are not armoured) that have an excellent attack, The Dimah, medium sword armed cavalry, and last the Thessalian Riders, these are mounted peltasts basically.
The Mercenaries are the same as the persians (Scythian heavy, ligh and Axemen) but they also get a mercenary archer (like the persian unit exactly)
Macedonians also have artillery and ships, they have Ballistas and Catapults, their warships are the Unireme, Bireme(persians have it too) and Triere (Trireme, persians have the Warship) (and light ship, but the persians have these too).
The fromations are based on stances and number of soldiers, lowest formation is 36 soldiers, or 20 cavalry, highest is 100 soldiers or 40 cavalry.
They have stances, Agressive, Neutral and Defensive, Agressive put swordsmen in a wedge formation, pelatsts in a crecent, while spears in several lines but their spears are pointed forward. Neutral is neutral and puts them in a box formation or square formation. Defensive puts the units in several long lines good for sarisofors to wipe out cavalry.
its pretty much like cossacks but 10x slower.