Is there a condition for a $G$-equivariant map $X \to Y$ to be a cofibration of $G$-spaces? Here $X$ and $Y$ are CW complexes, the group $G$ is finite, and acts by cellular maps.

I am using the model structure on CW-complexes with G-action where the fibrations and weak equivalences are those maps which are fibrations, weak equivalences respectively when we forget the $G$ action.