(1) get a book like Syncopation For The Modern Drummer and work through all of the timing exercises in there, while ticking off the pulse. Drummer Benny Greb has a great video that walks you through this. He calls it the "rhythm alphabet"
(2) Ear training. If you can hear it, you can play it. Whenever you hear a song on the radio, start singing the 'ands', then the upbeat triplets, the 'uhs' and so forth. If you have trouble singing these faster layers, then you know where you can improve.
Singing the meter, the tick/tock in each of these layers (as per the book in the other thread
) will help even more, especially for the more metrically complex patterns.