The study analyzes the impact resistance of novel composite sandwich panels incorporating Triply Periodic Minimal Surface (TPMS) structures and reentrant auxetic structures. A finite element model is developed to simulate the impact testing of sandwich constructions, featuring Kevlar fiber-reinforced face sheets and a 3D-printed Acrylonitrile Butadiene Styrene (ABS) polymer cellular core. The computational models are validated using available experimental data from highvelocity impact tests conducted on sandwich core panels. The impact response is assessed for various combinations of face sheets and cellular cores while maintaining consistent thickness across configurations. The influence of the Kevlar face sheet is incorporated by modeling it as a shell element. The primary objectives of the study are to analyze the residual velocity of the projectile post-penetration and evaluate the energy absorption capacity of the target plate.Results indicate that the specific energy absorption (SEA) of diamond TPMS cores is superior to that of re-entrant auxetic cores, provided the same relative density is maintained. The finite element model proposed in this research offers a robust framework for designing and predicting high-energy-absorbing architectures under impact loading conditions.