Reconstruction of f(G) gravity with the new agegraphic dark-energy model

We consider the reconstruction scenario of the new agegraphic dark-energy model and f(G) theory of gravity where G represents the Gauss-Bonnet invariant in the flat FRW spacetime. In this context, we assume a solution of the scale factor in power law form and study the correspondence scenario. A new agegraphic f(G) model is constructed and discussed graphically for the evolution of the universe. Using this model, we investigate the different eras of the expanding universe and stability with the help of the equation-of-state (EoS) parameter and squared speed of sound, respectively. It is mentioned here that the reconstructed model represents the accelerated expansion of the universe with instability. Moreover, the statefinder trajectories are studied and we find out that the model is not capable of reaching the ΛCDM phase of the universe.