Architectured materials have been studied widely for their potential to deliver tailored physical properties. Thanks to the advances in additive manufacturing, these materials are now a step closer for large scale industrial use. Driven by applications in which a smart dissipation of energy is sought for, in this study, we investigate the capacity of viscoelastic architectured materials for achieving tailored profile when it comes to dissipating energy. We focus here on a family of periodic architectured materials with cubic symmetry. First, the homogenization method is implemented to extract the effective viscoelastic behavior of the chosen lattices. Second, aiming for energy management, the storage and loss factors are extracted for a generally anisotropic lattice. Finally, conducting a numerical study on homogenized structural components, their energy dissipation in tensile and shear modes are investigated.