As a reminder, when collecting goods to move into the EU, the driver must be given all customs documents necessary to cross into the EU. If you are unsure which documents are required, you can check this here: document checklist. It is the responsibility of the GB exporter (with their customs agent and/or logistics provider) to ensure this.
If you are exporting to France, the Department for Transport have also recently published a useful leaflet from the French customs authority detailing which documents should be scanned to enter France and which ones should not. This should help avoid common errors with entry of goods to France.
See the leaflet here.