  In this paper, we study the coupling of the gravity supermultiplet (graviton
and gravitino) of minimal $\mathcal{N}=1$ SUGRA following a constructive
approach. Firstly, we use the master formulae that follows from considering the
scaling behavior of the spinor variables under the little group. Secondly, we
derive the 4-point couplings using BFCW. Then, we verify these results for the
general 3-point interactions that can be derived using the KLT-type relations,
i.e., they can be written as the square of the coupling of the gluons and
gluinos. Finally, we consider SUGRA Compton effect for graviton-gravitino. For
completeness, we present in the appendix the $\mathcal{N}=1$ Sugra lagrangian
in the 2-component Weyl formalism, including the proofs of SUSY and gauge
invariance.
