  We explore the realization of BRST symmetry in the non-Lorentzian Yang-Mills
Lagrangian within the context of Galilean and Carrollian Yang-Mills theory.
Firstly we demonstrate the nilpotent property of classical BRST transformations
and construct corresponding conserve charges for both cases. Then we analyze
the algebra of these charges and observe the nilpotent properties at the
algebraic level. The findings of this study contribute to a deeper
understanding of BRST symmetry in non-Lorentzian Yang-Mills Lagrangians and
provide insights into the algebraic properties of related conserve charges.
