  In the work, we have presented detailed analyses of the event horizon and
curvature properties of spacetime around a regular black hole in modified
gravity so-called regular MOG black hole. The motion of neutral, electrically
charged and magnetized particles with magnetic dipole moment, in the close
environment of the regular MOG black hole immersed in an external
asymptotically uniform magnetic field has been also explored. Through the study
on the motion of the neutral test particle, we have obtained that the positive
(negative) values of the MOG parameter mimic the spin of a rotating Kerr black
hole giving the same values for innermost stable pro-grade (retrograde) orbits
of the particles in the range of the spin parameter $a/M \in(-0.4125, \
0.6946)$. The efficiency of energy release from the accretion disk by the
Novikov-Thorne model has been calculated and shown that the efficiency is
linearly proportional to the increase of the MOG parameter $\alpha$, and
exceeds up to 15 \% at the critical limiting value of the MOG parameter
$\alpha_{\rm cr}$. The study of the charged particles dynamics has shown that
innermost stable circular orbits (ISCOs) of the particle increases with the
increase of the MOG parameter, while the increase of cyclotron frequency being
responsible to the magnetic interaction causes the decrease of the latter.
Moreover, the dynamics of magnetic dipoles has shown that the increase of the
MOG and the magnetic coupling parameters lead to an increase of the inner
radius and the width of the accretion disk consisting of magnetized particles.
Finally, we have focused on showing the range of values of the magnetic
coupling parameter causing the orbits to be stable.
