The primary source of the estimated error in the standard model's prediction for the anomalous magnetic moment of the muon originates mainly from hadronic vacuum polarization and hadronic light-by-light scattering. The latter is dominated by the exchange of neutral pseudoscalars and axial-vector mesons. By employing holographic QCD, we can compute these contributions and address the problem of most phenomenological models in meeting the established short-distance constraints of the hadronic light-by-light tensor. Notably, this includes the constraint implied by the axial anomaly identified by Melnikov and Vainshtein.