Sudden dynamic loading scenarios can often lead to undesirable mechanical responses in certain systems. However, in nature it is seen that certain species are found to have biological sutures in regions of their body where they are accustomed to dynamic loading. This has inspired the implementation of sutural geometries into originally flat regular hexagonal honeycomb tessellation interfaces comprised of harder hexagonal phases joined by a thinner, softer phase. These sutures are characterized by their tooth tip angle, wavelength, and amplitude and are studied to determine their influences the mechanical responses of the samples under dynamic indentation loading. Interestingly, suture tessellations can achieve negative Poisson's ratio in a certain design space. Both auxetic and non-auxetic designs under dynamic indentation loadings have been investigated via finite element (FE) simulations. Dynamic explicit FE simulations are conducted, using elasto-perfectly-plastic models for both hard and soft phases. The introduction of suture geometry leads to less plastic deformation in the composites, better dispersion of impact energy, and a lower peak load compared to the original flat tessellation counterparts. Additionally, results show that for 2D sutural tessellations, auxeticity enhances energy dissipation efficiency under dynamic indentation load.