  We discuss an extended Teleparallel gravity models comprising functions of
scalar invariants constructed by torsion, torsion Gauss-Bonnet and boundary
terms. We adopt the Noether Symmetry Approach to select the functional forms,
the first integrals and, eventually, the exact solutions of the dynamics in the
context of flat Friedman-Robertson-Walker cosmology. Standard perfect fluid
matter, minimally coupled to geometry, is considered. Several physically
consistent models are derived with related exact solutions.
