We review the importance of flavor symmetries for new physics explanations of the anomalous Tevatron top quark pair forward-backward asymmetries. A new strong interaction is introduced which can explain the asymmetries via the exchange of flavor multiplets of composite vector mesons and composite up-type quarks. Remarkably, the model is consistent with Tevatron and LHC constraints, inspite of the large number of sub-TeV resonances.