  The present work is devoted to the study of anisotropic compact matter
distributions within the framework of 5-dimensional Einstein-Gauss-Bonnet
gravity. To solve the field equations, we have considered that the inner
geometry is described by Tolman-Kuchowicz spacetime. The Gauss-Bonnet
Lagrangian is coupled to Einstein-Hilbert action through a coupling constant.
When this coupling tends to zero general relativity results are recovered. We
analyze the effect of this parameter on the principal salient features of the
model, such as energy density, radial and tangential pressure and anisotropy
factor.Additionally, the behaviour of the subliminal sound speed of the
pressure waves in the principal direction of the configuration and the conduct
of the energy-momentum tensor throughout the star are analyzed employing
causality condition and energy conditions, respectively. All these subjects are
supported by mean of physical, mathematical and graphical survey
