LHCb has recently provided the first-ever branching fraction as $\mathcal{B}( \Lambda_b \to \Lambda_c \tau^- \nu_\tau) = (1.50 \pm 0.16 \pm 0.25 \pm 0.23)$, and the ratio $R(\Lambda_c)$.
Considering the new physics effects in $b\to c\tau^-\bar{\nu}_{\tau}$ transitions, we have constrained the new Wilson coefficients of the one operator and two operator scenarios from the available data on these decays. The two-operator scenario with scalar-pseudoscalar and tensor quark current provides the most plausible solution to the current data. Also, we have tested the new physics sensitivities (one or two-operator scenarios) of the different angular observables in $\Lambda_b \to \Lambda_c (\to \Lambda \pi^{+}) \tau^- \bar{\nu}_{\tau}$ decays and found correlations among them.