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The Chern-Simons-like theories of gravity (CSLTG) are formulated at firstorder formalism. In this formalism, the derivation of the entropy of a blackhole on bifurcation surface, as a quasi-local conserved charge is problematic.In this paper we overcome to these problems by considering the concept of totalvariation and the Lorentz-Lie derivative. We firstly find an expression for theADT conserved current in the context of the CSLTG which is based on the conceptof the Killing vector fields. Then, we generalize it to be conserved for alldiffeomorphism generators. Thus, we can extract an off-shell conserved chargefor any vector field which generates a diffeomorphism. The formalism presentedhere is based on the concept of quasi-local conserved charges which areoff-shell. The charges can be calculated on any codimension two space-likesurface surrounding a black hole and the results are independent of the chosensurface. By using the off-shell quasi-local conserved charge, we investigatethe Virasoro algebra and find a formula to calculate the central extensionterm. We apply the formalism to the BTZ black hole solution in the context ofthe Einstein gravity and the Generalized massive gravity, then we find theeigenvalues of their Virasoro generators as well as the corresponding centralcharges. Eventually, we calculate the entropy of the BTZ black hole by theCardy formula and we show that the result exactly matches with the one obtainedby the concept of the off-shell conserved charges.

Lorentz-diffeomorphism Conserved Charges And Virasoro Algebra In Chern-Simons-Like Theories Of Gravity