  We derive the field equations for topologically massive gravity coupled with
the most general quadratic curvature terms using the language of exterior
differential forms and a first order constrained variational principle. We find
variational field equations both in the presence and absence of torsion. We
then show that spaces of constant negative curvature (i.e. the anti de-Sitter
space $AdS_3$) and constant torsion provide exact solutions.
