Upon testing, it appears the outlook rules set up does not have something that will allow you to specifically move items from one folder to the deleted items folder. Since the filtering system works on messages received nd sent there was one option called Received in a specific date span.

This will allow you to move all items to a specified folder. Most commonly used an archive folder. However, using secondary attributes like with name in the to field or in conjunction with subject line you could properly filter those messages only.

Hope this helps.