  The main purpose of this paper is to investigates structure scalars in the
context of $f(\mathcal{G}, T)$ gravity, where $\mathcal{G}$ is the Gauss-Bonnet
invariant and $T$ is the trace of stress energy tensor. For this aim, we have
considered the spherically symmetric spacetime and dissipative anisotropic
fluid coupled with radiation and heat ejecting shearing matter distributions.
We have found these scalar variables by orthogonally decomposing the Riemann
curvature tensor in $f(\mathcal{G}, T)$ gravity. Moreover, the evolution
equations of shear and expansion are also developed with the help of these
scalar functions. We have also analyzed these scalars by taking constant
$\mathcal{G}$ and $T$ for dust cloud. The physical behavior of structure
scalars for radiating matter distributions has been examined in the presence of
modified gravity. It is shown that the evolutionary stages of relativistic
stellar structures can be explored via modified scalar functions.
