  This paper is the second of two papers devoted to the study of the evolution
of the cosmological horizons (particle and event horizons). Specifically, in
this paper we consider the extremely general case of an accelerated universe
with countably infinitely many constant state equations, and we obtain simple
expressions in terms of their respective recession velocities that generalize
the previous results for one and two state equations. We also provide a
qualitative study of the values of the horizons and their velocities at the
origin of the universe and at the far future, and we prove that these values
only depend on one dominant state equation. Finally, we compare both horizons
and determine when one is larger that the other.
