Since we're unable to check your account here in Community to see your UAE Vat codes setup, I suggest contacting our QuickBooks Desktop Support Team. They can pull your account and help you on how to manage UAE VAT.
Press F1 to open the Help window.
From the search icon, type Contact Support.
Click Contact us at the bottom part.
Give a brief description of your issue about exporting and click the Search button.
You'll be routed with How to connect with a QuickBooks expert and you choose which one is best for you.
Ask the Community – allows you to post your question broadly so that a variety of experts can answer.
Message an Agent – Allows you to chat directly with a support agent.
Talk to a Specialist – Arranges a callback from a support agent.
You can check this article on how QBDT helps you keep an accurate record of taxes so you can easily monitor and remit them to the appropriate tax collecting agency: Handle cash basis sales tax.
Yes, you're correct the VAT calculation is unavailable in the US version of QuickBook Desktop. You can manually calculate the tax and manually file the return outside QuickBooks. On the other hand, QuickBooks Desktop for United Kingdom version supports VAT, you might want to check it through these articles:
As rightly pointed out, QuickBooks UK version is VAT compatible and is currently used by a lot of customers in the UAE. We can setup FTA and related tax types like Standard Rated 5%, Zero Rated 0%, Reverse Charge etc.
If you need more clarifications, feel free to reach out.