Transfer order related tables are LTAK, LTAP.
If you go into trx LT21 and check the F1 help for field RL03T-QSTAT you will see that this is a calculated field.
- LT15 ("real" cancellation): if you cancel a TO the LTAP-VSOLM= (-1) x LTAP-VDIFM
- LT0G (not "real" cancellation): in this case the trash bin is not diaplayed in report LT22 / LT21 for the TO item > in sales document flow (table VBFA) you can see what's happened (maybe you can extract the information from somwhere else as well).
I can repeat only what I told you:
Field (RL03T-QSTAT ) is calculated (automatically by SAP) - the value of it is not stored in any data table. I assume SAP calculates it based on this rule: if LTAP-VSOLM= (-1) x LTAP-VDIFM then a trash bin has to be displayed because the TO is cancelled.
My other remark is that you can cancel a TO (in connection with an outbound delivery) by LT0G. This cancellation is of different nature, in LT21 you won't see any trash bin. LTAK-SPEZI e.g. tell you that the TO is created by LT0G (hopefully).
Please check my first answer carefully.