  The aim of this paper is to present the definition of complexity for static
self-gravitating anisotropic matter proposed in $f(G,T)$ theory, where $G$ is
the Gauss-Bonnet term and $T$ is the trace of energy momentum tensor. We
evaluate field equations, Tolman-Oppenheimer-Volkoff equation, mass functions
and structure scalars. Among the calculated modified scalar variables that are
obtained from the orthogonal splitting of Riemann tensor, a single scalar
function has been identified as the complexity factor. After exploring the
corresponding Tolmann mass function, it is seen that the complexity factor
along with the $f(G,T)$ terms have greatly influenced its formulation and its
role in the subsequent radial phases of the spherical system. We have also used
couple of ansatz in order to discuss possible solutions of equations of motion
in the study of the structure of compact object.
