You can see these details in several ways, if you want a confirmation for a specific item for one TO, go to LT21, to first tab (general) and scroll to the rightmost part, you'll see 3 fields, confirmation date, time and user.
If you want to export this data in mass, you can see it in table LTAP - transfer order item level details:
LTAP-QDATU - confirmation date
LTAP-QZEIT - time of confirmation
LTAP-QNAME - user that confirmed the item