Thanks for looping in, @Eric Halvorsen.
The corresponding feature of QBO's project in the Desktop version is Job Costing. They have different processes, and converting or exporting it from QBDT to QBO isn't an option yet.
You will have to manually add projects in QBO:
I cited an article for the conversion process and its limitation. I recommend checking the link for in-depth information.
That should do it, @Eric. Let me know the results or if you have additional questions. I'm always here to offer assistance.