  This work is concerned with the formulation of the graded quantum inverse
scattering method for a class oflattice models with reflecting boundary
conditions. The $sl(2|1)^{(2)}$ and $osp(2|1)$ models are considered with their
diagonal reflections in BFB grading. This allowed us to derive the eigenvalues
and eigenvectors for the corresponding transfer matrices as well as explicit
expressions for the Bethe Ansatz equations.
