Battalion Damage:

 

	=		1.5	*	Player Atk	+	0.25	*	Player Def
		+	14	*	Commander Atk	+	7	*	Commander Def
		+	10	*	General Atk	+	4	*	General Def
		+	5	*	Troop Atk	+	2	*	Troop Def
		+	10	*	Armament Atk	+	4	*	Armament Def

Unlike legions, there is no difference between Armament types.
Anything that boosts stats of gens/troop seems to work fine, including stat bonus for commanders.
Player stats are the displayed ones on profile, i.e., they include stats from worn gear and any buffs.


As for the damage in the actual raids, it seems to be just this Battalion Damage with a slight random variation (±5% or maybe 6%).