  Generalizing our earlier work, we construct quasi-particle bases of principal
subspaces of standard module $L_{X_l^{(1)}}(k\Lambda_0)$ and generalized Verma
module $N_{X_l^{(1)}}(k\Lambda_0)$ at level $k\geq 1$ in the case of affine Lie
algebras of types $B_l^{(1)}$ and $C_l^{(1)}$. As a consequence, from
quasi-particle bases, we obtain the graded dimensions of these subspaces.
