Within the broad class of intelligent materials available today, multi-functional magneto-electro-elastic (MEE) materials have attracted a special attention owing to their specialized performance and coupled behavior under mechanical, electric, and magnetic fields. Due to these coupling effects, the multiferroic composites have the ability to convert energy among these fields and thus made them very useful in smart and adaptive systems such as magneto-electric data storage and switching, magnetic field detector, and electric control of magnetism. In this talk, we investigate the time-dependent behavior of a laminated MEE composite with viscoelastic interlayers. The multilayer is assumed as a simply supported rectangular plate subjected to the transverse loading. The adhesive viscoelastic interlayer is described by the standard linear solid model considering the strain memory effect. The weakly electric and magnetic imperfect conditions between adjacent layers are also considered. We employ the pseudo-Stroh formalism, Cramer’s rule, and Laplace transform to establish the semi-analytical solutions for an orthotropic MEE laminates. The derived solutions are then applied to BaTiO₃-CoFe₂O₄ sandwich plates with epoxy as the viscoelastic interlayer. Numerical calculations show that the response of the MEE laminated with viscoelastic interlayers changes significantly with time. It is also shown that the results at the initial and the long-term steady state can be predicted by the elastic method.