  Employing the Verlinde's hypothesis, and considering two well-known
generalized entropy formalisms, two modifications to the Newtonian gravity are
derived. In addition, it has been shown that the generalized entropy measures
may also provide theoretical basis for the Modified Newtonian Dynamics (MOND)
theory and generate its modified forms. Since these entropy measures are also
successful in describing the current accelerated universe, our results indicate
that the origin of dark sectors of cosmos may be unified to meeting the
generalized entropy measures instead of the Boltzmann-Gibbs entropy by the
gravitational systems due to the long-range nature of gravity.
