<p>A physically viable, effective anisotropic double-layer structure is constructed, consistent with the description of an effective stellar double-layer structure. To achieve this, Einstein’s field equations of gravity for a fluid in the anisotropic pressure regime were used, along with a linear equation of state related to quark matter and a quadratic equation of state related to exotic matter, to model the core and envelope, respectively. Our results reveal that this structure satisfies the dominant and strong energy conditions for an acceptable gravitational source and also exhibits high stability with respect to the Harrison-Zeldovich-Novikov criterion, convective motion, gravitational cracking, and dynamical stability assessed by radial pulsation analysis. In this respect, this model can serve as a basis for subsequent theoretical extensions, such as the inclusion of electric charge or even the influence of the cosmological constant, which could modify the internal structure, boundary conditions, and global properties of the system.</p>