Thanks for following up with me, @kna1 !
Once a product is updated in Shopify, it automatically syncs back to the Tik Tok Sales Channel. Any updates made to products on Tik Tok will be overwritten by the data in Shopify - so make sure that changes are happening to your product through the Shopify Admin.
For more context, the Tik Tok sales channel will always show approved or disapproved under the “Status for Shop” column. If the product shows disapproved, there will be detailed reasons along with an error message if there was an issue syncing the product.
Since the Tik Tok Sales channel is fully supported by their in-house team, you can connect with them directly for troubleshooting assistance as well.
Let me know if you have further questions,