Bouncing Cosmology and Cosmological Dynamics in $f(Q,T)$ Gravity

We propose a reconstructed cosmological model in the framework of $f(Q,T)$ gravity, that provides a unified description of the early- and late-time evolution of the Universe. The model exhibits a non-singular asymmetric bounce, smoothly connecting an initial contracting phase to the subsequent expanding Universe and naturally evolving into a late-time dark energy-dominated epoch. Our study focuses on the progression of the Hubble parameter, energy density, pressure, and the parameter. This analysis aims to define the various stages of cosmic evolution and explore the characteristics of dark energy. The analysis of energy conditions reveals that the essential conditions for achieving a non-singular bounce are violated. Overall, the $f(Q, T)$ gravity model, once reconstructed, effectively captures the cosmic dynamics surrounding the bounce. It offers a cohesive theoretical framework that reliably explains the Universe's evolution during both its early and late stages.