  Fuzzy dark matter wormhole solutions coupled with anisotropic matter
distribution are explored in 4D Einstein-Gauss-Bonnet and $f(R)$ gravity, where
$R$ is the Ricci scalar. We derive the shape function for fuzzy wormholes and
explore their possible stability. We study the embedding diagrams of the active
gravitational mass associated with fuzzy dark matter wormholes by taking a
certain shape function. Aiming to highlight the role of Einstein-Gauss-Bonnet
and $f(R)$ gravity in the modeling of less complex fuzzy wormhole structures,
we evaluate the complexity factor, the conservation equation, and null energy
conditions. Our study reinforces more importance of uniformly distributed
pressure effects throughout the less complex region than to the emergence of
energy density homogeneity in the stability of fuzzy wormholes. It is shown
that the active gravitational mass of the fuzzy wormhole structures varies
inversely with the radial distance thereby suggesting the breaching of energy
conditions at some arena of Einasto index. Furthermore, it is revealed that
stable fuzzy dark matter wormhole structures exist in nature in the
surroundings of cold dark matter halos and galactic bulges. The important
physics understood from our analysis is that in both four-dimensional
Einstein-Gauss-Bonnet and $f(R)$ gravity, feasible geometries of fuzzy dark
matter wormholes exist naturally in the environments of different galactic
haloes.
