  Wormholes are tunnels connecting different regions in space-time. They were
obtained originally as a solution for Einstein's General Relativity theory and
according to this theory they need to be filled by an exotic kind of
anisotropic matter. In the present sense, by "exotic matter" we mean matter
that does not satisfy the energy conditions. In this article we propose the
modelling of wormholes within an alternative gravity theory that proposes an
extra material (rather than geometrical) term in its gravitational action. Our
solutions are obtained from well-known particular cases of the wormhole metric
potentials, named redshift and shape functions, and yield the wormholes to be
filled by a phantom fluid, that is, a fluid with equation of state parameter
$\omega<-1$. In possession of the solutions for the wormhole material content,
we also apply the energy conditions to them. The features of those are
carefully discussed.
