  We study an analogue of the Achar-Riche "mixed modular derived category" for
moment graphs. In particular, given a Coxeter group $W$ and a reflection
faithful representation $\mathfrak{h}$, we introduce a category that plays the
role of Schubert-stratified mixed modular perverse sheaves on "the flag variety
associated to $(W, \mathfrak{h})$." We show that this Soergel-theoretic
generalization of graded category $\mathcal{O}$ is graded highest weight.
