Barring a website to look up all units for every faction, you can easily determine this by setting up a custom battle. You can select any faction you wish and see their available forces and their stats. You do not need to load into the battle and can go back whenever you wish and select your faction again.

I like to whittle away at the Timurids b4 engaging in large field battles,reduce or eliminate as many elephants as possible and sometimes if I have anything left,some of their Hvy Cav.Then you can take em out in the field with your regular stacks. I have only stopped the Timurids multi-stacks on arrival vs my 1 1/2 army cold in 1 field battle and it was a bridge defense. For the Mongols I prefer to defend w/e city/castle they are foolish enough to attack.

The most effective, but also most boring way to gaurantee victory is to sally.
You can sally attack both the Mongols and Timurids and destroy 3 or 4 of their stacks at a time and every other reinforcement horde later if you have ballista or preferably cannon towers in your city. Cannon towers in fact make it nearly impossible to lose a sally if you are patient. The Mongols are not well equipped to siege anything, for the Timurids make sure to run the elephants out of ammo b4 you sally some missles or militia of your own.