Referring the Snote 2637288 where it has been mentioned that we can move the configurations done in one system/client (source) to multiple target systems/clients (one system after another).
I could able to move "Item type to Project template" customizing within same system one client to another in Development by executing a report called "/RPM/CUST_PRJ_TMPL_COPY".
How to move the customization from one system (Development) to another system (Quality)?
Because, the logical system in field "P_LOGSYS" (F4 search) appears only relevant system development clients. That should be destination/target system e.g. Quality clients.