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[en] A steady state spherical accretion process of perfect fluid onto modified Schwarzschild black hole is studied in this paper. Assuming various forms of infalling fluid we find their solutions at critical points and determine critical velocity for each case. For few fluid types, solutions are presented in closed form by presenting the curves in phase diagram. Moreover, we also discuss the effect of the Rindler parameter on the mass accretion rate of underlying spacetime. It is seen that the small values of it yield the maximum accretion rate. The results we obtain here may be helpful to understand the physical mechanism of accretion onto the modified version of Schwarzschild black hole.