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 \sim 0.3-0.8” ( \sim 30-100 pc ) and field of view of NOEMA allowed us to study the CO ( 2-1 ) morphology and kinematics in the nuclear regions ( \sim 100 pc ) and up to radial distances of \sim 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 ( \sim 100 pc ) and circumnuclear ( \sim 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 .