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This research work provides an exhaustive investigation of the viability ofdifferent coupled wormhole (WH) geometries with the relativistic matterconfigurations in the $f(R,G,T)$ extended gravity framework. We consider aspecific model in the context of $f(R,G,T)$-gravity for this purpose. Also, weassume a static spherically symmetric space-time geometry and a uniquedistribution of matter with a set of shape functions ($\beta(r)$) for analyzingdifferent energy conditions (ECs). In addition to this, we examined WH-modelsin the equilibrium scenario by employing anisotropic fluid. The correspondingresults are obtained using numerical methods and then presented using differentplots. In this case, $f(R,G,T)$ gravity generates additional curvaturequantities, which can be thought of as gravitational objects that maintainirregular WH-situations. Based on our findings, we conclude that in the absenceof exotic matter, WH can exist in some specific regions of the parametric spaceusing modified gravity model as, $f(R,G,T) = R +\alpha R^2+\beta G^n+\gammaG\ln(G)+\lambda T$.

Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity