Nainata Monks - How to counter?

[Sartori]

Right, the question I'd like to ask is quite plain and simple: How does one counter the Naginata Monks?

I find naginata monks & naginata samurai combo quite tough to fight, as they tend to withhold the bulk of my army, while the enemy tends to have advantage in cavalary. Having most of my forces tied in battle with the naginatas I lack enough reserves to fight the cavalry back and mostly end up loosing my general and/or archers. If I withdraw my general to safety, my units get out of the boost circle. That's a straight way for morale breakdown and as result - Lost battle.

Any ideas how to counter that setup?

PS.
Sorry for typo in the topic name >.<

PS 2.
I don't know if this is the appropriate section to ask questions, or should I have opened this topic in "Hachiman Fields"? If I committed an error, please could some mod put this topic where it should belong? TY in advance.