Arm crate here. Tooling crate missing. Our consolidated receipt counts packages differently from the packing list. After 34 days, who actually signed for the tooling crate's identifier?
Our goods-in team once signed for a wrapped pallet while the paperwork counted every box beneath the wrap. First question: does your receipt identify the tooling crate, or just the consolidated load?
On a split delivery, our stores team found the smaller package booked to the office that paid the freight, not to the machine job. That may not be your case, but give receiving the crate mark as well as the purchase reference when they search.
Aisha Bell's point is worth checking in parallel. Don't wait for every carrier email before asking your own receiving desk what they actually unloaded.
Then ask stores to check the location under that internal label, while keeping the original crate identity in the enquiry. Once found, the tooling contents still need checking against your order.