We have investigated the structural properties of strange quark stars (SQSs) in a modified theory of gravity known as massive gravity. In order to obtain the equation of state (EOS) of strange quark matter, we have employed a modified version of the Nambu–Jona-Lasiniomodel (MNJL) which includes a combination of NJL Lagrangian and its Fierz transformation by using weighting factors (1 − α) and α. Additionally, we have also calculated dimensionless tidal deformability () in massive gravity. To constrain the allowed values of the parameters appearing in massive gravity, we have imposed the condition 1.4M 580. Notably, in the MNJL model, the value of α varies between zero and one. As α increases, the EOS becomes stiffer, and the value of increases accordingly. We have demonstrated that by softening the EOS with increasing the bag constant, one can obtain objects in massive gravity that not only satisfy the constraint 1.4M 580, but they also fall within the unknown mass gap region (2.5M − 5M). To establish that the obtained objects in this region are not black holes, we have calculated Schwarzschild radius, compactness, and MT OV in massive gravity.
