The magnetic and magnetocaloric properties were studied in Cr-substituted ferrimagnetic Mn2-xCrxSb0.95In0.05 (x=0.05, 0.09, 0.13) alloys. A main phase with the tetragonal Cu2Sb-type structure was confirmed by XRD methodology at room temperature for these compounds. A small amount of MnSb impurity phase of which is a ferromagnet is also observed from the XRD patterns, being responsible for the high magnetic response in the antiferromagnetic state. In these alloys, Cr-substitution for Mn results in a first-order magnetoelastic transition from ferrimagetic to antiferromagnetic state with decreasing temperature. Simultaneously, two spin-reorientation transitions are observed during the ferrimagnetic region. Owing to the abrupt change in magnetization around the antiferromagnetic-ferrimagetic transition, large magnetic entropy change as high as 1.63 J/kgK in Mn1.91Cr0.09Sb0.95In0.05 alloy under the magnetic field change of 0-10 kOe are obtained.