  We introduce a new definition of weighted Grassmann orbifolds. We study their
several invariant $q$-cell structures and the orbifold singularities on these
$q$-cells. We discuss when the integral cohomology of a weighted Grassmann
orbifold has no $p$-torsion. We compute the equivariant $K$-theory ring of
weighted Grassmann orbifolds with rational coefficients. We introduce divisive
weighted Grassmann orbifolds and show that they have invariant cell structures.
We calculate the equivariant cohomology ring, equivariant $K$-theory ring and
equivariant cobordism ring of a divisive weighted Grassmann orbifold with
integer coefficients. We discuss how to compute the weighted structure
constants for the integral equivariant cohomology ring of a divisive weighted
Grassmann orbifold.
