  AGN-driven outflows are believed to play an important role in regulating the
growth of galaxies mostly via negative feedback. However, their effects on
their hosts are far from clear, especially for low and moderate luminosity
Seyferts. To investigate this issue, we have obtained cold molecular gas
observations, traced by the CO(2-1) transition, using the NOEMA interferometer
of five nearby (distances between 19 and 58 Mpc) Seyfert galaxies. The
resolution of approx. 0.3-0.8 arcsec (approx. 30-100 pc) and field of view of
NOEMA allowed us to study the CO(2-1) morphology and kinematics in the nuclear
regions (approx. 100 pc) and up to radial distances of approx. 900 pc. We have
detected CO(2-1) emission in all five galaxies with disky or circumnuclear ring
like morphologies. We derived cold molecular gas masses on nuclear (approx. 100
pc) and circumnuclear (approx. 650 pc) scales in the range from $10^6$ to
$10^7$M$_{\odot}$ and from $10^7$ to $10^8$ $M_{\odot}$, respectively. In all
of our galaxies the bulk of this gas is rotating in the plane of the galaxy.
However, non-circular motions are also present. In NGC 4253, NGC 4388 and NGC
7465, we can ascribe the streaming motions to the presence of a large-scale
bar. In Mrk 1066 and NGC 4388, the non-circular motions in the nuclear regions
are explained as outflowing material due to the interaction of the AGN wind
with molecular gas in the galaxy disk. We conclude that for an unambiguous and
precise interpretation of the kinematics of the cold molecular gas we need a
detailed knowledge of the host galaxy (i.e., presence of bars, interactions,
etc) as well as of the ionized gas kinematics and the ionization cone geometry.
