  We study the dynamical behavior of a non-Hermitian moire superlattice system,
which consists of two-coupled SSH chains with staggered imaginary on-site
potentials. There are two main spatial regions, in which systems are in
unbroken symmetric phases with fully real spectrum, appearing periodically
along the ladder. We show that the two quantum phases are dimerized and
tetramerized, which determine the distinct dynamical behaviors. Dirac
probability can oscillate periodically, increase quadratically and increase
exponentially, which correspond to the unbroken phase, exceptional point and
the broken phase of the tetramerized region. In comparison, the Dirac
probability can exhibit high-frequency oscillation in the dimerized region.
These phenomena demonstrate the dynamical signature and provide insightful
information of the moire pattern in the non-Hermitian regime.
