  The Chern-Simons-like theories of gravity (CSLTG) are formulated at first
order formalism. In this formalism, the derivation of the entropy of a black
hole on bifurcation surface, as a quasi-local conserved charge is problematic.
In this paper we overcome to these problems by considering the concept of total
variation and the Lorentz-Lie derivative. We firstly find an expression for the
ADT conserved current in the context of the CSLTG which is based on the concept
of the Killing vector fields. Then, we generalize it to be conserved for all
diffeomorphism generators. Thus, we can extract an off-shell conserved charge
for any vector field which generates a diffeomorphism. The formalism presented
here is based on the concept of quasi-local conserved charges which are
off-shell. The charges can be calculated on any codimension two space-like
surface surrounding a black hole and the results are independent of the chosen
surface. By using the off-shell quasi-local conserved charge, we investigate
the Virasoro algebra and find a formula to calculate the central extension
term. We apply the formalism to the BTZ black hole solution in the context of
the Einstein gravity and the Generalized massive gravity, then we find the
eigenvalues of their Virasoro generators as well as the corresponding central
charges. Eventually, we calculate the entropy of the BTZ black hole by the
Cardy formula and we show that the result exactly matches with the one obtained
by the concept of the off-shell conserved charges.
