The measurements of R ( * ) K and R ( * ) D by BaBar, Belle and the LHCb collaborations could be showing a hint of lepton flavor universality violation that can be accommodated by the presence of suitable leptoquarks at the TeV scale. We consider an effective description, with leptoquarks arising as composite pseudo Nambu-Goldstone bosons, as well as anarchic partial compositeness of the SM fermions. Considering the R ( * ) K anomaly within this framework, we study pair production of S 3 ∼ (3, 3) 1/3 at the LHC. We focus on the component S 1/3 3 of the triplet, which decays predominantly into tτ and bν, and study the bounds from existing searches at √ s = 13 TeV at the LHC. We find that sbottom searches in the bb + E miss T final state best explore the region in parameter space preferred by our model and currently exclude S 1/3 3 masses up to ∼1 TeV. Additional searches, considering the tτ and tµ decay modes, are required to probe the full physical parameter space. In this paper we also recast existing studies on direct leptoquark searches in the tτ tτ channel and SM tttt searches, and obtain the regions in parameter space currently excluded. Practically the whole physical parameter space is currently excluded for masses up to ∼0.8 TeV, which could be extended up to ∼1 TeV with the full Run 3 dataset. We conclude that pair production searches for this leptoquark can benefit from considering the final state tτ b + E miss T , where the largest branching ratio is expected. We appraise that future explorations of leptoquarks explaining the B-anomalies with masses beyond the TeV should also consider single and non-resonant production in order to extend the mass reach.Since the birth of the Standard Model (SM), Lepton Flavor Universality (LFU) has been an outstanding feature of particle physics. It is one of the milestones in Fermi's Universal Theory, which is captured by the gauge interactions of the SM, and only broken within the SM in the Yukawa interactions. Since the establishment of the SM, there has been much interest in searching for LFU violation. However, only in recent years it has become possible to explore interactions that involve heavy quarks and heavy leptons, i.e. the two sectors characterized by a large flavor universality violation in their Yukawa interactions, and thus where one could expect to find new sources of flavor universality violation.Over the last few years, results from B-factories and the LHCb experiment show deviations of ∼2-3σ in the ratios R ( * ) -4], where accurate tests of LFU can be performed. This has been a subject of intense study in the literature where, mostly within an Effective Field Theory (EFT) approach, one can identify several possible New Physics (NP) explanations [5-10] for the discrepancies. Among them, a leptoquark [11] arises as one of the favored explanations [6,12,13]. In particular, considering the R ( * ) K anomaly, there are three possible leptoquarks that can accommodate the observed results [6]:where S and V denote spin 0 and 1, respectively, and the numbers...