I present a hybrid theoretical framework for simulating lattice gauge theories by mapping gauge bosons to qumodes and fermions to qubits. This approach provides a natural representation for both non-Abelian and Abelian gauge bosons, utilizing the continuous-variable space of qumodes to mitigate the truncation errors typically found in discrete-variable encodings. While the formalism is general, we demonstrate its validity through classical simulations of an Abelian U(1) theory coupled to fermions, showing that the qubit-qumode mapping preserves gauge invariance and offers a streamlined path for simulating dynamical matter. Our results establish a scalable theoretical foundation for high-energy physics simulations on future hybrid quantum architectures.