In this paper, we discuss some feasible features of gravastar that was firstly demonstrated by Mazur and Mottola. It is already established that gravastar associates the de-Sitter spacetime in its inner sector with the Schwarzschild geometry at its exterior through the thin shell possessing the ultra-relativistic matter. We have explored the singularity free spherical model with a particular equation of state under the influence of f (R,G) gravity, where R is the Ricci scalar and G is the Gauss-Bonnet term. The interior geometry is matched with a suitable exterior using Israel formalism. Also, we discussed feasible solution of gravastar which describes the other physically sustainable factors under the influence of f (R,G) gravity. Different realistic characteristics of the gravastar model are discussed, in particular, shell's length, entropy and energy. A significant role of this particular gravity is examined for the sustainability of gravastar model. (C) 2020 Elsevier B.V. All rights reserved.