This work presents and assesses the use of an equivalent single layer plate as an isotropic and orthotropic carrier in the context of a wave-based and a forced-based homogenization approaches. The wave-based approach conserves the three main propagating waves of the reference structure. The forced-based strategy uses a multi-objective Pareto-search-based numerical dynamic homogenization approach to conserve the input power and Transmission Loss (TL) of the reference structure. Both approaches are applied to a multilayered and a soft-core sandwich panels (classical structures) as well as to an orthogonal bi-ribbed panel (complex periodic structure). Four forced response indicators (input power, total energy, radiated power and oblique incidence/diffuse TL) are systematically computed and compared with their references within the audible frequency range. These comparisons demonstrate the effectiveness of the forced-based orthotropic carrier strategy, to correctly capture typical vibroacoustic behavior of elastic classical and complex periodic structures. Low damped complex periodic structures with stop bands present a challenge for an equivalent single layer plate carrier in a context of a forced-based strategy. An improvement in the forced response performance of the isotropic carrier is obtained when the forced-based strategy is compared with the wave-based strategy.