  The null geodesics around the charged black hole spacetimes are investigated
in the mimetic gravity framework when Einstein's gravity is coupled to a
nonlinear electromagnetic field. The photon paths in nonlinear electrodynamics
are geodesics of the effective metric which is determined by the background
metric and the particular nonlinear theory considered. The nonlinear effects
are represented by a quadruple moment and appear as a correction term to
Reissner Nordstrom (RN) metric and Reissner Nordstrom-anti-de Sitter (RN-(A)dS)
in cylindrical metric. Remarkably, the nonlinear effects prevent the circular
orbits around black holes, and the presence of the mimetic field can change the
repulsive character of dS space to the attractive one. Also, the effect of the
mimetic parameter manifests itself in the stronger or weaker gravity of the
black hole.
