Entropy isn’t best described as a movement from an ordered system to a disordered one; however, it is best described as a universal progression from compacted ultra-high energy / ultra-intense heat at the very beginning of time, i.e. the Big Bang, to an ultimate end-of-time destiny of universally dispersed low energy which will be as close as possible to absolute zero. This will transpire long after complex matter and complex systems have ceased to be. The current outward expansion of the universe is essential to this process, which is why the process of entropy is always in a time-forward direction.
At the conclusion of time, there may well be no matter left. Widely dispersed, cold, pure energy is the lowest entropic condition and so will most likely be the end of our universe’s journey which began with the hot, compacted energy of the Big Bang.
For more on this, please see the section on Entropy.