What is the correct word for the list of goods that we receive from our clients to be shipped(export) abroad?
Please let me have your order/shipment list?
It is called a "bill of lading" if the items are cargo to be shipped.
Its sometimes called the packing list. If all items are to be individually listed it is often an advance copy/pro-forma invoice.
"A manifest or ship's manifest is a document listing the cargo, passengers, and crew of a ship, aircraft, or vehicle, for the use of customs and other officials. Where such a list is limited to identifying passengers, it is a passenger manifest or passenger list; conversely, such a list limited to identifying cargo is a cargo manifest or cargo list."
EDIT: Apparently I'm too new to comment, but from reading the clarifications above, the word you need is "order"; nothing more complicated is required.