  Regarding the Veneziano ghost of QCD and its generalized form, we consider a
Friedmann-Robertson-Walker (FRW) universe filled by a pressureless matter and a
dark energy component interacting with each other through a mutual
sign-changeable interaction of positive coupling constant. Our study shows
that, at the late time, for the deceleration parameter we have
$q\rightarrow-1$, while the equation of state parameter of the interacting
ghost dark energy (GDE) does not cross the phantom line, namely
$\omega_D\geq-1$. We also extend our study to the generalized ghost dark energy
(GGDE) model and show that, at late time, the equation of state parameter of
the interacting GGDE also respects the phantom line in both flat and non-flat
universes. Moreover, we find out that, unlike the non-flat universe, we have
$q\rightarrow-1$ at late time for flat FRW universe. In order to make the
behavior of the underlying models more clear, the deceleration parameter $q$ as
well as the equation of state parameter $w_D$ for flat and closed universes
have been plotted against the redshift parameter, $z$. All of the studied cases
admit a transition in the expansion history of universe from a deceleration
phase to an accelerated one around $z\approx 0.6$
