  In the context of CA conjecture for holographic complexity, we study the
action growth rate at late time approximation for general quadratic curvature
theory of gravity. We show how the Lloyd's bound saturates for charged and
neutral black hole solutions. We observe that a second singular point may
modify the action growth rate to a value other than the Lloyd's bound.
Moreover, we find the universal terms that appear in the divergent part of
complexity from computing the bulk and joint terms on a regulated WDW patch.
