  In these proceedings we present our results on the exclusive photoproduction
of $J/\psi\,\eta_{c}$ pairs in the collinear factorization framework. We argue
that the process might be used as a complementary channel for studying the
generalized parton distributions (GPDs) of gluons. We provide numerical
estimates for the cross-section in the kinematics of the future Electron Ion
Collider.
