  The latest results from the long baseline neutrino experiments show a hint of
non-zero CP violation in the neutrino sector. In this article, we study the CP
violation effects in the upcoming long-baseline neutrino experiments DUNE and
T2HK. Non-standard interactions can affect the cleaner determination of CP
violation parameter. It has been argued that the NSI can help alleviate the
tension between the recent $\delta_{CP}$ measurements of NO$\nu$A and T2K
experiments. We consider here the dual NSI due to $\epsilon_{e\mu}$ and
$\epsilon_{e\tau}$, arising simultaneously to see the effects in neutrino
oscillation probabilities. Moreover, the CP asymmetry parameter $A_{CP}$
exhibits a clear distinction between normal and inverted mass orderings in the
DUNE experiment.
