Once the equipment is unpacked, the provider makes its own inventory. On its enterprise ITAD page, Greentec says its inventory lists each item's make, model and serial number, along with diagnostics and an asset tag or location. This is the record you match against your own list, line by line.
An inventory line shows that a device was received. It says nothing about the data on it. That takes a second record. NIST says a certificate of sanitization should be completed for each storage medium, as your organization's policy directs. It should give at least the manufacturer, model and serial number, the media type and source, the method and technique, the tool and its version, the verification method, and who verified and validated the result, with a date, location and signature. NIST's sample form is an example, and an electronic record serves as well.
Verification and validation are two steps in that record. Verification checks that the technique finished properly, for instance by reading the tool's completion status and errors. Validation is the decision to accept the result as effective or reject it. NIST's example is degaussing a solid-state drive: the operation can complete while no sensitive data is sanitized. So a line that says "completed" is evidence that a tool ran. The method, the media type and the name of the person who accepted the result let you judge whether that method suited the device.
Greentec's process shows why the two records have to be read together. It says drives are wiped with licensed software, and any device that fails to wipe is physically shredded. It issues a certificate of data erasure backed by the serialized inventory. For shredded devices, it describes a certificate of destruction that gives the services performed, the time of destruction, and the make, model and serial number of each device. Shredding happens at its plant or at the customer's site with a mobile shredder.
So one laptop can start on the erasure path and end on the destruction path. The file should show that change against its serial number. If it doesn't, a failed wipe and a missing certificate look the same from your side.