Two suggestions:
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Make sure Hazel has a Date Last Modified is after Date Last Matched statement, to ensure proper folder monitoring
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Forget Automator. Either have Hazel put the matched document into a folder that has one of DEVONthink Pro Office’s folder actions (see Help), or, preferably, put a script into your Hazel action(s) to have the matched document imported into the group you wish. There are examples of this in the forum.
Here’s a good approach along these lines (via @FROBGOBLIN)