Exploring the effects of a double reconstruction on the geometrical parameters of coupled models, using observational data

In this work we study the effects of the non-gravitational exchange energy (Q) between dark matter (DM) fluid and dark energy (DE) fluid on the background evolution of the cosmological parameters. A varying equation of state (EOS) parameter, {\omega}, for DE is proposed. Considering an universe spatially flat, two distinct coupled models were examined to explore the main cosmological effects generated by the simultaneous reconstruction of Q and {\omega} on the shape of the jerk parameter, j, through a slight enhancement or suppression of their amplitudes with respect to noncoupled scenarios, during its evolution from the past to the near future. In consequence, j could be used to distinguish any coupled DE models. Otherwise, the observational data were used to put stringent constraints on Q and {\omega}, respectively. In such a way, we used our results as evidences to search possible deviations from the standard concordance model ({\Lambda}CDM), examining their predictions and improving our knowledge of the cosmic evolution of the universe.