  Topological spin liquids can be described by topological gauge theories with
global symmetry. Due to the presence of both nontrivial bulk deconfined gauge
fluxes and global symmetry, topological spin liquids are examples of the
so-called "Symmetry Enriched Topological phases" (SET). In this paper, we find
that, in some twisted versions of topological gauge theories (with discrete
Abelian gauge group $G_g$), implementing a global symmetry (denoted by $G_s$)
is anomalous although symmetry charge carried by topological point-like
excitations is normally fractionalized and classified by the second cohomology
group. To demonstrate the anomaly, we fully gauge the global symmetry,
rendering a new gauge theory that is not gauge invariant. Therefore, the SET
order of the ground state is anomalous, which cannot exist in 3D system alone.
Such anomalous state construction generalizes the "2D surface topological
order" to 3D. A concrete example with $G_g=\mathbb{Z}_2\times\mathbb{Z}_4$ and
$G_s=\mathbb{Z}_2$ is calculated.
