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A powerful and efficient hybrid method combining the finite-element boundary-integral method with fast multipole method (FE-BI-FMM) is proposed in this paper to study the electromagnetic scattering characteristics from a coated object above a two-layered dielectric rough surface. The finite-element method (FEM) is applied to model the scattering from the coated object, and multiple interactions between the object and layered rough surface are handled by the FMM-enhanced boundary integral method (BIM). A hybrid solver is adopted to efficiently solve the FEM-BIM matrix equation. Several numerical results are presented, and the influence of several parameters of the composite model on the scattering characteristics is analyzed in detail. Both vertical and horizontal polarizations for the incident waves are considered.