Covalent organic frameworks (COFs) represent a class of crystalline porous materials that have captured significant interest across various fields due to their high surface area and tunable pore size. The Kagome lattice COFs are a two-dimensional network of interconnected triangles with hexagonal patterns that provide an excellent platform for designing materials with tailored porosity. We provide insights into their network connectivity through degree-based topological indices that facilitate the predictions of physicochemical properties, biological activities, and network transformations during phase transition phenomena. In this study, we analyze Kagome lattice COFs by computing their topological indices and entropies by considering three types of organic linkers using bond partitioning techniques and regression models. Furthermore, we derive quantitative expressions for topological index-based entropies to elucidate the order/disorder structural complexities of these COFs.