  Non-local correlations in entangled systems are usually captured by measures
such as Bell's inequality violation. It was recently shown that in neutrino
systems, a measure of non-local advantage of quantum coherence (NAQC) can be
considered as a stronger measure of non-local correlations as compared to the
Bell's inequality violation. In this work, we analyze the effects of non
standard interaction (NSI) on these measures in the context of two flavour
neutrino oscillations for DUNE, MINOS, T2K, KamLAND, JUNO and Daya Bay
experimental set-ups. We find that even in the presence of NSI, Bell's
inequality violation occurs in the entire energy range whereas the NAQC
violation is observed only in some specific energy range justifying the more
elementary feature of NAQC. Further, we find that NSI can enhance the violation
of NAQC and Bell's inequality parameter in the higher energy range of a given
experimental set-up; these enhancements being maximal for the KamLAND
experiment. However, the possible enhancement in the violation of the Bell's
inequality parameter over the standard model prediction can be up to 11%
whereas for NAQC it is 7%. Thus although NAQC is a comparatively stronger
witness of nonclassicality, it shows lesser sensitivity to NSI effects in
comparison to the Bell's inequality parameter.
