for v in versions:
         val = d.getVar(v, False)
         pkg = v.replace("PREFERRED_VERSION_", "")
-        if pkg.endswith(("-native", "-crosssdk")) or pkg.startswith(("nativesdk-", "virtual/nativesdk-")):
+        if pkg.endswith("-native") or "-crosssdk-" in pkg or pkg.startswith(("nativesdk-", "virtual/nativesdk-")):
             continue
-        if 'cross-canadian' in pkg:
+        if '-cross-' in pkg and '${' in pkg:
             for p in prefixes:
                 localdata = bb.data.createCopy(d)
                 override = ":virtclass-multilib-" + p
                 localdata.setVar("OVERRIDES", localdata.getVar("OVERRIDES", False) + override)
                 bb.data.update_data(localdata)
-                newname = localdata.expand(v)
+                newname = localdata.expand(v).replace("PREFERRED_VERSION_", "PREFERRED_VERSION_" + p + '-')
                 if newname != v:
                     newval = localdata.expand(val)
                     d.setVar(newname, newval)