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Most of the popular explanations of the observed anomalies in thesemileptonic $B$-meson decays involve TeV scale Leptoquarks (LQs). Among thevarious possible LQ models, two particular LQs -- $S_{1}(3, 1, 1/3)$ and$U_{1}(3, 1, 2/3)$ seem to be most promising. Here, we use current LHC data toconstrain the $S_{1}(3, 1, 1/3)$ and $U_{1}(3, 1, 2/3)$ parameter spacesrelevant for the $R_{D^{(*)}}$ observables. We recast the latest ATLAS$\tau\tau$ resonance search data to obtain new exclusion limits. For thispurpose, we consider both resonant (pair and single productions) andnon-resonant ($t$-channel LQ exchange) productions of these LQs at the LHC. Forthe limits, the most dominant contribution comes from the (destructive)interference of the non-resonant production with Standard Model backgrounds.The combined contribution from the pair and inclusive single productionprocesses is less prominent but non-negligible. The limits we get areindependent and competitive to other known bounds. For both the models, we setlimits on $R_{D^{(*)}}$ motivated couplings.

LHC Bounds on $R_{D^{(*)}}$ motivated Leptoquark Models