The three-site Pati-Salam gauge model provides a consistent description for the hints of lepton-flavor non-universality observed in B decays, connecting the present pattern of “anomalies” to the origin of the Standard Model Yukawa couplings. We present here a detailed analysis of the model predictions for a series of low-energy observables, mainly in B and τ physics. The model is in good agreement with present data and predicts a well-defined pattern of non-standard effects in low-energy observables that could allow us to test it in the near future. Particularly interesting are the predictions of large τ → μ Lepton Flavor Violating processes, such as τ → μγ, τ → 3μ, B → Kτ μ, and Bs → τ μ. Also μ → 3e, μ → eγ, and KL → μe decays could be not far from the present exclusion bounds, although this conclusion is more model dependent.