Abstract:
Any new gravitational theories can be built with the help of a gauge theory with local
Poincare symmetry. This local Poincare symmetry can set up a space-time with torsion. In the present
study, the authors working on the parametrization approach towards Hubble’s parameter in the
frame of modified teleparallel Gauss-Bonnet gravity which is established on the torsion invariant
T and the teleparallel equivalent of the Gauss-Bonnet term TG, say F(T , TG ) gravity. In particular,
gravity is responsible for an integrated explanation of the cosmological history from early-time
inflation to late-time acceleration expansion, by lacking the addition of a cosmological constant. The
domino effect acquired is reliable with recent cosmological outcomes. A transition scenario from
a decelerating phase to an accelerating phase of cosmic evolution has been detected. Using the
combined datasets (SNe-Ia+BAO+CMB+H(z)), we have constrained the transition redshift zt (at
which the universe transit from a decelerating phase to an accelerating) and established the best fit
value of zt
. Next, we paralleled the renovated results of q(z) and ω(z) and found that the outcomes
are well-suited with a ΛCDM universe.