  This Letter reports a search for charge-parity (CP) symmetry violating
non-standard interactions (NSI) of neutrinos with matter using the NOvA
Experiment, and examines their effects on the determination of the standard
oscillation parameters. Data from
$\nu_{\mu}(\bar{\nu}_{\mu})\rightarrow\nu_{\mu}(\bar{\nu}_{\mu})$ and
$\nu_{\mu}(\bar{\nu}_{\mu})\rightarrow\nu_{e}(\bar{\nu}_{e})$ oscillation
channels are used to measure the effect of the NSI parameters
$\varepsilon_{e\mu}$ and $\varepsilon_{e\tau}$. With 90% C.L. the magnitudes of
the NSI couplings are constrained to be $|\varepsilon_{e\mu}| \, \lesssim 0.3$
and $|\varepsilon_{e\tau}| \, \lesssim 0.4$. A degeneracy at
$|\varepsilon_{e\tau}| \, \approx 1.8$ is reported, and we observe that the
presence of NSI limits sensitivity to the standard CP phase
$\delta_{\tiny\text{CP}}$.
