As of two weeks ago, you can no longer add manual shipping rates using the Google and Youtube app in Shopify. In Google Merchant Center, you will get a message saying Shopify handles Shipping (Delivery) settings, but there is no button to add your shipping rates.
Solutions?
There are two ways forward.
Option 1 (untested):
Disconnect Shopify in the apps and services area. Check if the add shipping options appear. You may need to wait a few hours. Then, once added, connect the app again. You will most likely need to connect inside the Shopify app this time.
I am unable to test this as none of my clients have this issue, and I don’t want to put any downtime on them for no reason.
Option 2:
For a straightforward solution, revert to Google Merchant Center classic. Simply click on the question mark in the top right corner, then choose ‘Use classic Merchant Center ‘.