  In this paper, we consider the flat Friedmann Lematre Robertson-Walke 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.
