Does this sync with WooCommerce too

Not explicitly though we’re looking for a long term solution for WooCommerce (it keeps coming up). We’re considering Common Data Services as the destination, mostly because orders would apply equally to Operations and CDS would be a good common ground.

In the meantime you can use php toolkit to push the orders in code. Ping us on [email protected] if you need any further assistance on the topic.

HTH
George