  We are concerned with compressible magneto-micropolar fluid equations
(1.1)-(1.2). The global existence and large time behaviour of solutions near a
constant state to the magneto-micropolar-Navier-Stokes-Poisson (MMNSP) system
is investigated in $\mathbb{R}^3$. By a refined energy method, the global
existence is established under the assumption that the $H^3$ norm of the
initial data is small, but the higher order derivatives can be large. If the
initial data belongs to homogeneous Sobolev spaces or homogeneous Besov spaces,
we prove the optimal time decay rates of the solution and its higher order
spatial derivatives. Meanwhile, we also obtain the usual $L^p-L^2$ $(1\leq
p\leq2)$ type of the decay rates without requiring that the $L^p$ norm of
initial data is small.
