  In this paper we consider a generalization of zwei-dreibein gravity with a
chern-Simons term associated to a constraint term which fixed the torsion. We
count the local degrees of freedom of this model using Hamiltonian analysis and
show that in contrast to the usual GZDG which has 2 bulk local degrees of
freedom, our model has 3 propagating modes. Then by looking at the quadratic
Lagrangian, we determine that these propagating modes are 3 massive graviton
with different masses. Finally we obtain AdS wave solution as an example
solution for this model.
