The recent data of the two long baseline experiments NOνA and T2K, interpreted in the standard 3-flavor scenario, provide a ∼ 2.4σ indication in favor of the normal neutrino mass ordering. We show that such an indication is completely washed out if one assumes the existence of neutral-current non-standard interactions (NSI) of the flavor changing type involving the e − τ flavors. PACS numbers: 13.15.+g, 14.60.Pq Introduction. Neutrino physics is living a very exciting era. Running experiments are starting to probe the last unknown parameters of the 3-flavor framework, such as the neutrino mass ordering 1 (MO), the CP-phase δ and the octant of the mixing angle θ 23 . In this respect the two long baseline experiments (LBL) NOνA and T2K play a leading role. In fact, from their data analysis we already have the first indications concerning all these neutrino properties. In particular, their combination with the reactor data sensitive to θ 13 provide a ∼ 2σ indication in favor of NO. 2 Such an indication is independently corroborated by the Super-Kamiokande atmospheric data [3]. As a consequence the most recent global fits display a preference for NO at the remarkable ∼ 3σ level [4][5][6].