In this article, we have tried to reform the symmetric f (Q) gravity in the light of some modified Teleparallel Gravity (TG) theories like f(P), f(T), f(R), f(R,T), Einstein-Aether (EA), f(G) and f(R, G), gravity, and we have discussed their significant role to the fact that the universe is expanding and we have taken the symmetric Teleparallel Gravity f (Q) and found the f (Q) in terms of Q. Taking the scale factor for the universe as a(t) = a0tn and then comparing the energy densities for f (Q) and other modified gravity theories, characterized graphically Q vs. f (Q) for each and every model considered here. Again we have discussed the feature of evolution of the universe for early time and late time also with the help of some cosmological parameters like parameter q known as deceleration parameter, & omega;DE, the equation of state parameter and the squared speed of sound parameter vs2 for each covered & PRIME; model. Also, we have taken the trajectories in & omega;DE-& omega;DE plane to discuss the freezing zone and thawing zone in the plane.& COPY; 2023 Elsevier B.V. All rights reserved.