So yeah, as far as I can tell the next step is "we both reinforce, maneuver for a while, and then do it all over again."
Also pretty sure I'm just not using some of my units properly, but that is part of learning I guess. Role on the next battle!
Final note: The replay is awesome, just total carnage. At the midpoint my side of the screen is just full of burning giants, advancing on Abysia's front line. So basically, I only won because my guys were too stupid to run away in the face of Abysia's superior tactics