  To recreate the cosmological models, we employed the parametrization approach
in modified teleparallel Gauss-Bonnet gravity. It has been interesting to apply
the parametrization approach to investigate cosmological models. The real
benefit of using this method is that the observational data may be incorporated
to examine the cosmological models. Several cosmological parameters were
examined, such as the Hubble parameter (H), the deceleration parameter (q), and
the equation of state (EoS) parameter (w). The results obtained are consistent
with recent cosmological findings in the conventional scenario. A transition
scenario from a decelerating stage to an accelerating stage of cosmic evolution
has been observed. The EoS parameter is also in the quintessence phase, which
drives the accelerating expansion of the Universe. Also, we look at the
violation of strong energy condition, which has become inevitable in the
context of modified gravitational theory. Finally, we have performed the Om(z)
diagnostic and also obtained the age of the Universe by using the data from the
cosmological observations.
