The paper discusses the development of an effective low-energy Lagrangian for gauge theories based on local supersymmetry that is spontaneously broken at an intermediate energy scale between the weak interaction and the Planck scale. The authors use the general coupling of the Yang-Mills matter system to n = 1 supergravity to derive this Lagrangian. They provide realistic models of supersymmetric QED and the electroweak theory, where supersymmetry breaking is induced by gravitational effects. The framework allows for the coexistence of the Higgs effect for gauge symmetry breaking and the super-Higgs phenomenon, leading to the generation of gravitino mass. The paper also explores the structure of the scalar potential and the mass eigenvalues, showing that the model can be extended to supersymmetric grand unified theories. The authors conclude by discussing the possibility of relaxing the conditions on the starting superpotential and considering non-minimal interactions between matter and supergravity.The paper discusses the development of an effective low-energy Lagrangian for gauge theories based on local supersymmetry that is spontaneously broken at an intermediate energy scale between the weak interaction and the Planck scale. The authors use the general coupling of the Yang-Mills matter system to n = 1 supergravity to derive this Lagrangian. They provide realistic models of supersymmetric QED and the electroweak theory, where supersymmetry breaking is induced by gravitational effects. The framework allows for the coexistence of the Higgs effect for gauge symmetry breaking and the super-Higgs phenomenon, leading to the generation of gravitino mass. The paper also explores the structure of the scalar potential and the mass eigenvalues, showing that the model can be extended to supersymmetric grand unified theories. The authors conclude by discussing the possibility of relaxing the conditions on the starting superpotential and considering non-minimal interactions between matter and supergravity.