<p>Triply periodic minimal surfaces (TPMS)-based lattice structures are gaining ultimate attention due to their energy absorption and lightweight applications. The mechanical properties of several TPMS structures have not been explored significantly. This study deals with the compressive property evaluation of rarely explained TPMS structures such as lidinoid, double gyroid, Schwarz primitive, and split-P. This work proposes six different functionally graded triply periodic minimal surface structures (FG-TPMS) by integrating two TPMS structures. Fused Filament Fabrication (FFF) technology was employed in this research to fabricate TPMS and FG-TPMS structures using acrylonitrile butadiene styrene (ABS) thermoplastic. The compressive properties of TPMS and FGTPMS structures were analyzed in this work, along with energy absorption characteristics and strength-to-weight ratio. The compression test results show that the lidinoid structure may withstand a significant load and possesses the highest compressive strength. Other compressive properties, such as compressive modulus, plateau stress, and densification strain of the lidinoid structure, outperform the other three TPMS structures. The compressive behavior of FG-TPMS structures, such as lidinoid- SP, SP-split-P, double gyroid-SP, double gyroid-Split-P, lidinoid-double gyroid, and lidinoid-split-P, was amazing. The compressive properties of the lidinoid-based lattice structure are observed to be good. Double gyroid-split-P is a non-lidinoid lattice structure with the highest strength-to-weight ratio compared to other TPMS and FG-TPMS structures. It is observed that the proper range of gradient surface and volumetric fraction is crucial for improving energy absorption capabilities. These outcomes would provide guidelines on FG-TPMS structures, promoting the application of energy-absorbing lattice structures in real-life engineering.</p>