  This paper aims to study the local behavior of solutions to a class of
anisotropic weighted quasilinear degenerate parabolic equations with the
weights comprising two power-type weights of different dimensions. We first
capture the asymptotic behavior of the solution near the singular or degenerate
point of the weights. In particular, we find an explicit upper bound on the
decay rate exponent determined by the structures of the equations and weights,
which can be achieved under certain condition and meanwhile reflects the damage
effect of the weights on the regularity of the solution. Furthermore, we prove
the local H\"{o}lder regularity of solutions to non-homogeneous parabolic
$p$-Laplace equations with single power-type weights.
