We show that the twist subgroup $\mathcal{T}_g$ of a nonorientable surface of
genus $g$ can be generated by two elements for every odd $g\geq27$ and even
$g\geq42$. Using these generators, we can also show that $\mathcal{T}_g$ can be
generated by two or three commutators depending on $g$ modulo $4$. Moreover, we
show that $\mathcal{T}_g$ can be generated by three elements if $g\geq 8$. For
this general case, the number of commutator generators is either three or four
depending on $g$ modulo $4$ again.