  Proposing an optomechanical cavity modulated periodically, we study the
modulation synchronization of mechanical modes of the mirrors. A periodic
modulation is applied to one of the mirrors, where the second mirror has the
capability of oscillation, without any modulation for that. As a result, we
find a phase-locking synchronization between the mechanical modes of the
mirrors and enhancement of quantum synchronization by having the periodic
modulation. Using the fact that, periodic modulation can make the squeezed
states, we show that there is a robust synchronization of periodic modulation
between mirrors against enhancement of detuning between the mirrors. Also, our
results show that having a periodic modulation leads to a stationary
entanglement generation between the mirrors.
