  We introduce a construction of symmetry-enriched topological orders on
bipartite lattices in which two $\mathbb{Z}_2$ spin liquids defined on each
sublattice are combined, and then anyons are condensed to reduce the
topological order. By choosing different anyon condensate structures, one can
vary the fractionalization pattern of the resulting spin liquid, some of which
cannot be readily constructed from parton based approaches. We demonstrate the
construction for $i$) a spin-1/2 honeycomb lattice where we construct a
featureless state as well as intermediate states with topological order, $ii$)
a nonsymmorphic lattice, and $iii$) lattices with magnetic translation
symmetry. At last, we discuss constraints on non-chiral topological orders in a
bosonic system under magnetic field.
