  Mirkovi\'c introduced the notion of character sheaves on a Lie algebra. Due
to their simple geometric characterization, character sheaves on Lie algebras
can be thought of as a simplified model for Lusztig's theory of character
sheaves on algebraic groups. We extend the theory to the case of modular
coefficients. Along the way, we will reprove some of Mirkovi\'c's results and
provide connections with the modular generalized Springer correspondence of
Achar, Juteau, Riche, and Williamson.
