  We investigate the emergence of superfluid p=p_x+ip_y phases in an ultracold
gas of dipolar Fermi molecules lying in two parallel square lattices in 2D. As
shown by a two body study, dipole moments oriented in opposite directions in
each layer is the key ingredient in our mean field analysis from which
unconventional superfluidity is predicted. The T=0 phase diagram summarizes our
findings: Stable and metastable superfluid phases appear as a function of the
dipole-dipole interaction coupling parameter. A first order phase transition,
and thus a mixture of superfluid phases at different densities, is revealed
from the coexistence curves in the metastable region. Our model predicts that
these superfluid phases can be observed experimentally at 0.6 nK in molecules
of NaK confined in optical lattices of size a =532nm
