Cache Factory can contain Cache Bag.

product/ERP5/bootstrap/erp5_core/PortalTypeAllowedContentTypeTemplateItem/allowed_content_types.xml

@@ -24,6 +24,7 @@
   <item>Ram Cache</item>
  </portal_type>
  <portal_type id="Cache Factory">
+  <item>Cache Bag</item>
   <item>Distributed Ram Cache</item>
   <item>Ram Cache</item>
  </portal_type>

product/ERP5/bootstrap/erp5_core/bt/template_portal_type_allowed_content_type_list

@@ -8,6 +8,7 @@ Base Type | Action Information
 Base Type | Role Information
 Cache Bag | Distributed Ram Cache
 Cache Bag | Ram Cache
+Cache Factory | Cache Bag
 Cache Factory | Distributed Ram Cache
 Cache Factory | Ram Cache
 Cache Tool | Cache Bag