<p>Chiral crystals hosting multifold fermions provide an exceptional platform for investigating the intertwined roles of orbital angular momentum, crystal symmetry, and topology in quantum materials. Recent experimental and theoretical studies have established that, in chiral semimetals such as CoSi, RhSi, and PdGa, orbital degrees of freedom rather than spin play a dominant role in governing topological responses. In this work, we develop a unified mathematical and physical framework to describe chiral orbital order and its impact on Berry curvature, orbital magnetization, and chirality-dependent charge transport. Starting from symmetry constraints imposed by enantiomorphic space groups, we derive an effective low-energy Hamiltonian that supports symmetry-protected orbital textures and multifold fermion dispersions. Within this framework, we compute topological invariants and orbital response functions, and we present numerical results that quantify Berry curvature amplitudes, orbital magnetic moments, and chirality-induced energy splittings for representative model parameters. These results demonstrate that orbital chirality provides a consistent mechanism linking microscopic orbital textures to macroscopic topological and transport responses. Our findings elucidate the central role of orbital chirality in shaping nontrivial topological phenomena in multifold fermion systems and establish a predictive foundation for chirality-controlled orbitronic functionalities in noncentrosymmetric quantum materials.</p>