The stock returned is customer stock because it is a R&R (return and repair) process, it is for this reason that movement type is 653 E.
In this case SAP system doesn't link output message.
When I'm in VL02N and I post goods receipt using the dedicated button, in the case the mov.type is 653 in MB90 I see che output message ZXXX but if the mov.type is 653 E I don't see it (like in MB02).