A generalized magnetohydrodynamic meanfluidic model is theoretically constructed to analyze the gravitational (Jeans) instability dynamics excitable in a spherical complex astrocloud on the non-relativistic classical astroscales of space and time. It concurrently includes the effects of viscoelasticity, buoyancy, polytropicity, volumetric thermal expansion, and so forth. Application of spherical normal mode analysis with no usual quasi-classic approximation over the non-Newtonian (Maxwellian) astrocloud yields a unique form of a generalized linear cubic dispersion relation. A numerical illustrative platform shows that the equilibrium temperature, polytropicity, viscoelastic relaxation time, effective generalized viscosity, and radial cloud size act as stabilizing agents to the excited gravito-magneto-acoustic instability. Conversely, the mean constitutive mass and magnetic field act as the cloud destabilizing factors against the inward non-local self-gravity. It is interestingly found that the magnetic field moderated in the presence of adopted non-ideality effects in the spherical astrocloud acts as a destabilizing agent against the typical landscape of stability influences by the unmoderated pure magnetic counterpart. It sets out a new theoretical support to the existing various astronomic observations on the magnetic field acting as a cloud destabilizing agency in the presence of geometrical curvature (spherical) effects widely reported in the literature.A generalized magnetohydrodynamic meanfluidic model is theoretically constructed to analyze the gravitational (Jeans) instability dynamics excitable in a spherical complex astrocloud on the non-relativistic classical astroscales of space and time. It concurrently includes the effects of viscoelasticity, buoyancy, polytropicity, volumetric thermal expansion, and so forth. Application of spherical normal mode analysis with no usual quasi-classic approximation over the non-Newtonian (Maxwellian) astrocloud yields a unique form of a generalized linear cubic dispersion relation. A numerical illustrative platform shows that the equilibrium temperature, polytropicity, viscoelastic relaxation time, effective generalized viscosity, and radial cloud size act as stabilizing agents to the excited gravito-magneto-acoustic instability. Conversely, the mean constitutive mass and magnetic field act as the cloud destabilizing factors against the inward non-local self-gravity. It is interestingly found that the magnetic fi...