  In this paper, we show that a periodically driven Aubry-Andr\'e-Harper model
with imbalanced on-site gain/loss supports universal one-way transport that is
immune to impurities and independent of initial excitations. We reveal the
underlying mechanism that the periodic driving gives rise to the non-Hermitian
skin effect in the effective Floquet Hamiltonian, thereby causing universal
non-reciprocal transport. Additionally, we probe the time-average decay rate of
the propagator under long-time bulk dynamics as a signature of the Floquet
emergent non-Hermitian skin effect. Our results provide a feasible and
controllable way to realize universal one-way transport that is easily
accessible to experiments.
