The key separation and purification industry accounts for almost half of industrial energy consumption. Based on the molecular properties of gas mixture components (such as chemical affinity or molecular size), the use of porous solids for gas separation has attracted much attention as an efficient/low-energy alternative to traditional techniques such as distillation. Flexible robust metal organic frameworks (MOFs) and hydrogen bonded organic frameworks (HOFs) are novel porous solids that have made significant progress in gas separation due to their unique structural properties. In this critical review, we focus on a detailed study of the emergence and evolution of such MOFs/HOFs to achieve specific challenging gas separation goals. By comparing with robust and flexible MOFs, the structure and separation characteristics of flexible robust MOF/MOF were explained in detail. Through systematic analysis of the performance of such new porous materials, it has been demonstrated that flexible and robust MOF/HOF is a benchmark material for many challenging gas separations. From an industrial perspective, the characteristics of this category have been compared with other benchmarks and highlighted issues related to separation performance, stability, and energy efficiency.