[reviewed/revised 16 Oct 2021]
For the battle of Cedar Mountain you start with 14 brigades. It is an offensive/maneuver battle, so all infantry or inf + 1 cav is probably best.
Send 5-6 of your brigades around to the left, into the woods W of the road. You will force Federal units out of there and then rout them eastwards across the main Union battle line.
Send another 5 of your brigades around to flank the Union line from the right (east).
The remainder of your force can move forward towards the creek below the flag, to draw Federal units.
Once you’ve taken the flag and are in cover while the Union is out in the open, you can just let the Federals commit suicide against your lines until the battle timer runs down.
J&P Rebalance Mod (1.27.4.3) BG
There seems to be a problem at the Cedar Mountain battle when using this mod. CSA can bring 16 units in all, but its infantry units seem artificially weakened compared to their Federal counterparts—in my playthrough of the battle, CSA units with good stats were ineffective in situations when they normally would perform well, e.g., they would fire into the flanks of Federal units, point blank, with basically no effect. The only thing that worked for me was melee cav, with whose crucial help CSA annihilated the Union force, but only after CSA overall sustained ~40% casualties. The same strategy I’ve described for the vanilla game should work with the mod, but bring at least three strong (>800-horse) melee cav units and be prepared to use them heavily.
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