  We study the generalized minimal massive gravity (GMMG) in Compere, Song and
Strominger boundary conditions employing a semi-product of a Virasoro and a
$\hat{u}(1)$ Kac-Moody current algebras as the asymptotic symmetry algebra. We
calculate the entropy of BTZ black holes via the degeneracy of states belonging
to a Warped-CFT. We compute the linearized energy excitations by using the
representations of the algebra $\hat{u}(1) \times SL(2,R)_R$ and show that
energies of excitations are non-negative at (two) chiral points in the
parameter space. At these special points, the charge algebra is described by
either Virasoro algebra or Kac-Moody algebra. We also consider some special
limits of the GMMG theory which correspond to $2+1$-dimensional massive gravity
theories such as new massive and minimal massive gravity theories.
