Abstract
In the context of \(F(T,T_{G})\) gravity, we examine the reconstruction scenario of the Tsallis holographic dark energy (THDE) model where \(T\) stands for the torsion scalar, and \(T_{G}\) stands for the teleparallel Gauss–Bonnet term. The Hubble constant \(H_{0}\) and the deceleration value \(q\) are two crucial elements that govern the expansion history of the Universe in power-law cosmology. Using the Markov Chain Monte Carlo (MCMC) technique with the likelihood function, we obtain the sets of constraints as \(H_{0}=70.93^{+0.0024}_{-0.0037}\) km/s/Mpc, \(q=-0.3384^{+0.0027}_{0.0026}\) for the Pantheon data and \(H_{0}=70.76732^{+0.0030}_{-0.00088}\) km/s/Mpc, \(q=-0.6478^{+0.0093}_{0.0075}\) by using the joint data (OHD \(+\) BAO \(+\) Pantheon), respectively. We find that the considered data fit well with the power-law cosmology at late times. We also use the bulk-viscosity component to solve the modified Einstein’s field equations, \(\xi=\xi_{0}+\xi_{1}H+\xi_{2}(\dot{H}+H^{2})\) . We determine the universe’s current age to be \(13.618\) Gyr, which is in line with the WMAP data. We additionally discussed the \(Om(z)\) parameter of the derived model.
