  The certification of quantum nonlocality, which has immense significance in
architecting device-independent technologies, confronts severe experimental
challenges. Detection loophole, originating from the unavailability of perfect
detectors, is one of the major issues amongst them. In the present study we
focus on the minimum detection efficiency (MDE) required to detect various
forms of genuine nonlocality, originating from the type of causal constraints
imposed on the involved parties. In this context, we demonstrate that the MDE
needed to manifest the recently suggested $T_2$-type nonlocality deviates
significantly from perfection. Additionally, we have computed the MDE necessary
to manifest Svetlichny's nonlocality, with state-independent approach markedly
reducing the previously established bound. Finally, considering the inevitable
existence of noise we demonstrate the robustness of the imperfect detectors to
certify $T_2$-type nonlocality.
