  In this paper, we use the embedding class-I technique to examine the effect
of charge on traversable wormhole geometry in the context of $f(\mathcal{G})$
theory, where $\mathcal{G}$ is the Gauss-Bonnet term. For this purpose, we
consider static spherical spacetime with anisotropic matter configuration to
investigate the wormhole geometry. The Karmarkar condition is used to develop a
shape function for the static wormhole structure. Using this developed shape
function, we construct a wormhole geometry that satisfies all the required
constraints and connects asymptotically flat regions of the spacetime. To
analyze the existence of traversable wormhole geometry, we evaluate the
behavior of energy conditions for various models of this theory. This study
reveals that viable traversable wormhole solutions exist in this modified
theory.
