What order does the Scheduler operation "Publish Data manager output blocks" use in a Data manager that has multiple publishing blocks? Does it do the publishing synchronously or asynchronously?
The blocks are published synchronously, however there is no way to control the order that they are published.
If you need to run a series of publishers in order you should use a batch publisher block. In the batch publisher configuration file each row specifies a separate publish operation. The publish operations are executed in the sequence defined inside the configuration file.