As far as I know, CDI doesn't support the kind of field-level access that @ManagedProperty gives (where you can have @ManagedProperty(name="#{msgs.title}")). If you want that level of control in CDI, you'll have to write a CDI Producer.
Considering that the resource bundle is simply a class of ResourceBundle, you could easily obtain your defined bundle with:
FacesContext ctxt = FacesContext.getCurrentInstance();
ResourceBundle bundle = ctxt.getApplication().getResourceBundle(ctxt, aValue);
bundle.get("title");
Alternatively, you could simply inject either your FacesContext or Application into your bean:
@Inject
Application theApplication
public void getBundle{
ResourceBundle bundle = theApplication.getResourceBundle(ctxt, aValue);
}