The EU doesn't export anything, it's AZ and Pfizer that are exporting, as per their contracts with the UK and other countries. It is up to AZ and Pfizer to decide how to use their factories to meet their contractual obligations with the UK and the EU.
The UK (companies) on the other hand are exporting vaccine components (fatty lipids) that enable those factories to produce vaccines for not only the UK, but the EU, and Australia, if it ever receives its doses.
The UK (companies) on the other hand are exporting vaccine components (fatty lipids) that enable those factories to produce vaccines for not only the UK, but the EU, and Australia, if it ever receives its doses.