For objects, moving with the speed of light, cause and effect are simultaneous: An object appears in two (several, many) places at the same time, acquiring properties of waves (it started traveling and reached the destination synchronously).
For objects moving faster than the speed of light, the effect precedes the cause. E.g. antiparticles exist in the reverse time (an object arrives before it has started traveling).
The law of cause and effect works the way we observe it only for objects with positive mass in our material world, where time advances from past to future.