  We consider a holographic model with the charge current dual to a general
nonlinear electrodynamics (NLED) field. Taking into account the backreaction of
the NLED field on the geometry and introducing axionic scalars to generate
momentum dissipation, we obtain expressions for DC conductivities with a finite
magnetic field. The properties of the in-plane resistance are examined in
several NLED models. For Maxwell-Chern-Simons electrodynamics, negative
magneto-resistance and Mott-like behavior could appear in some parameter space
region. Depending on the sign of the parameters, we expect the NLED models to
mimic some type of weak or strong interactions between electrons. In the latter
case, negative magneto-resistance and Mott-like behavior can be realized at low
temperatures. Moreover, the Mott insulator to metal transition induced by a
magnetic field is also observed at low temperatures.
