Within the framework of four-dimensional quadratic curvature gravities in the appearance of a negative cosmological constant,a definition for the gravitational energy of solutions with anti-de Sitter(AdS)asymptotics was put forward by Giribet et al.[Phys.Rev.D 98 044046(2018)].This was achieved by adding proper topological invariant terms to the gravity action to render the variation problem well-posed.We prove that the definition via the procedure of topological regularization can be covered by our previous work[Int.J.Mod.Phys.A 35 2050102(2020)]in four dimensions.Motivated by this,we further generalize the results to generic diffeomorphism invariant theories of gravity in arbitrary even dimensions.