Viability of Reconstructed Bouncing Cosmologies in f(T,𝒯 ) Gravity

Cosmological reconstruction is a powerful technique in modified gravity invented to find the analogy of different cosmological epochs in modified gravity. In this paper, I present the modified holographic reconstruction scheme for [Formula: see text] theory of gravity where [Formula: see text] and [Formula: see text] are the torsion scalar and trace of energy–momentum tensor in the context of flat FRW universe. For this reconstruction, I consider Hubble horizon as an infrared cutoff and focus on a particular model [Formula: see text] (a correction to the teleparallel action depending on the matter content). Within this framework, I consider both the power law scale factor as well as the well-established cosmological bouncing scenario. Further, I explore various gravitational Lagrangians that can be reconstructed to yield analytical solution for symmetric, superbounce, oscillatory, singular bounce and matter bounce settings. The viability of these reconstructed models is then assessed through the EoS parameter [Formula: see text] and the [Formula: see text] plane [Formula: see text]. Notably, all the results align well with recent observational data.