  We classify all irreducible generic $\mathrm{VI}$-modules in non-describing
characteristic. Our result degenerates to yield a classification of irreducible
generic $\mathrm{FI}$-modules in arbitrary characteristic. Our result can also
be viewed as a classification theorem for a natural class of representations of
$\mathbf{GL}_{\infty}(\mathbf{F}_q)$.
