We investigate the generalized supersymmetric t− J model with boundary impurities in different gradings. All three different gradings: fermion, fermion, boson (FFB), boson, fermion, fermion (BFF) and fermion, boson, fermion (FBF), are studied for the generalized supersymmetric t − J model. Boundary K-matrix operators are found for the different gradings. By using the graded algebraic Bethe ansa...