Canonical bases arising from $\mathrm{ı}$quantum covering groups

For $\mathrm{ı}$quantum covering groups $(\mathbf{U},{\mathbf{U}}^{\mathrm{ı}})$ of super Kac-Moody type, we construct $\mathrm{ı}$-canonical bases for the highest weight integrable $\mathbf{U}$-modules and their tensor products regarded as ${\mathbf{U}}^{\mathrm{ı}}$-modules, as well as a canonical basis for the modified form of the $\mathrm{ı}$quantum group ${\mathbf{U}}^{\mathrm{ı}}$, using the ${\mathrm{ı}}^{\pi }$-divided powers, rank one canonical basis for ${\mathbf{U}}^{\mathrm{ı}}$.