I noticed that when I have both set up adhesion offer and a marketplace in my website, the adhesion offer order are not completed automatically whereas I set it up as downloadable product on woocommerce. But moreover they have the same display as marketplace product in the order summary, with the “dispute”, “contact the vendor”, etc… buttons (see the screen bellow) :
Thank you for waiting. Unfortunately, we can not reproduce this issue locally. Please make sure that payment for the order was successfully done as the payment gateway should switch the order status to at least “processing” on successful payment. Then order with the downloadable product will automatically change the status to “completed” in this case. For example, it was tested with the Stripe payment method, and it seems to work correctly