  Motivated by the $3.8\sigma$ deviation from no CP violation hypothesis for
the CP asymmetry (CPA) difference between $D^0\to K^+ K^-$ and $D^0\to \pi^+
\pi^-$, reported recently by LHCb and CDF, we investigate the CP violating
effect due to the left-right (LR) mixing in the general LR symmetric model. In
particular, in the non-manifest LR model we show that the large CPA difference
could be explained, while the constraints from $(\epsilon'/\epsilon)_K$ and
$D^0$-$\bar D^0$ are satisfied.
