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Abstract Neutrino oscillations in matter offer a novel path to investigate new physics. One of the main goals of neutrino experiments is to determine the CP phase, and the presence of new physics can alter the scenario. We assume that the observed difference, if any, in the CP phase is due to the possible non-standard interactions. We derive the relevant coupling strengths using the results of NO $$\nu $$ ν A and T2K and study their effects in the next generation of long-baseline experiments: T2HK and DUNE. Our analysis reveals a significant impact on the sensitivity of atmospheric mixing angle $$\theta _{23}$$ θ 23 in the normal and inverted orderings. Furthermore, we observe discernible differences in probabilities for both experiments when non-standard interaction from $$e-\mu $$ e - μ and $$e-\tau $$ e - τ sectors are included.