In unmodded M2TW, you can usually crush them by overwhelming force, say 10+ stacks with cavalry etc thrown at them.

In modded M2TW, its usually more difficult.

Either way, as England, you are probably playing one of the easiest factions to beat the Mongols with.
Your army composition should be as follows:

1 General
7 Retinue Longbowmen
6 Mercenary Spearmen (the best spears you can get as England)
4 Dismounted English Knights
2 Mailed Knights

What you basically want to do is entrench your position with a ring (not wall) of stakes and have your spearmen right behind your longbows in a thin row. DEK at the flanks behind the spearmen.
Mailed Knights behind your DEK and your general at the very center back.

You shouldn't be able to lose in a field battle like ths unless you place yourself at the bottom of a canyon.

If you don't mind exploiting the AI, lay the stakes in a wall / row a far way ahead of your intended position with the rest of your army already placed. Then start battle and move your longbows back to your army. The AI does not consider undefended stakes (stakes without troops nearby) and tends to run into them if your longbows can fire at them.

If you don't like field battles, ford (not bridge) battles are to your advantage and citadel battles obviously because the AI generally doesn't manage to storm further than wall 2 due to bad coding that even us modders cannot fully fix.