Hyperbolic Scenario of Accelerating Universe in Modified Gravity

Throughout this study, locally rotationally symmetric (LRS) Bianchi type-V space-time is pondered with Tsallis holographic dark energy (THDE) the Granda–Oliveros (GO) cut-off in Sáez–Ballester (SB) theory of gravity. A parameterization deceleration parameter (q) has been suggested: q=α−βH2. The proposed demonstrates Universe’s phase transition from early to current acceleration. Markov chain Monte Carlo (MCMC) was utilized have best-fit value for our model and confirm that satisfies recent observational data. Additional parameters such as q cosmographic jerk, snap, lerk also observed physically graphically. constructed differentiated other models using statefinder pair analysis. Some important features are discussed geometrically.