I won't argue the semantics of "back bow" I can see both points of view so lets talk "relief".
With Martin to increase relief, move the fretboard away from the strings, you decrease truss rod pressure by turning counterclockwise, and tighten the truss rod to raise the fingerboard.
Martin went from the single adjustment to dual adjustment truss rods around 2005-6, the old 5mm truss rod tools are too short for the new truss rods which are recessed deeper, you need a longer truss rod tool.
I have never heard the change to the new/better truss rod was driven by problems with Micarta ftreboards, that may be true I don't know, but Martin certainly doesn't use the new truss rod only on Micarta models, all my post 2005 Martins have the new truss rod.
Regardless good luck with your guitar..........
