I was literally just reading about this from my World notes. The anterior limb has a lot of stuff going on, which I will steer away from here, but the posterior limb has both motor and sensory components. The anterior 2/3 of the posterior limb of the internal capsule mainly consists of corticospinal tract motor fibers (descending from the cortex), while the posterior 1/3 of the posterior limb contains ascending sensory fibers from the thalamocortical tract. Although very small lesions to the posterior limb may cause contralateral pure sensory deficits, most lesions result in pure motor or combined sensorimotor deficits.
Hope this helps.