  This paper explores the circular geodesics of neutral test particles on an
equatorial plane around a rotating black hole. After using equations of motion
of scalar-tensor-vector gravity with the circular geodesics of null-like
particles, we find the equation of photon orbit. With the help of an effective
potential form, we have examined the stable regimes of photons orbits. The
Lyapunov exponent, as well as the effective force acting on photons, is also
investigated. We examine the energy extraction from a black hole via Penrose
process. Furthermore, we discuss the negative energy state and the efficiency
of energy extraction. We have made compare our results with that obtained for
some well known black holes models. We concluded that the efficiency of the
energy extraction decreases with the increase of dimensionless parameter of
theory and increases as spin parameter increases.
