In this paper, we {consider} the flat Friedmann–Lemaître–Robertson-Walker metric in the {presence} of perfect fluid models and extended $f(R,G,T)$ gravity {(where $R$ is the Ricci scalar, $G$ is the Gauss Bonnet invariant and $T$ stands for trace of energy momentum tensor)}. {In this context, we assume some specific realistic $f(R,G,T)$ models configuration that could be used to explore the finite-time future singularities that arise in late-time cosmic accelerating phases}. {In this scenario, we choose} the most recent estimated values for the Hubble, deceleration, snap and jerk parameters to develop the viability and bounds on the models parameters induced by different energy conditions.
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