When using the Lookup ID search field in Enhanced Revenue Batches, the Revenue Constituent Search (by Lookup ID) is used. That particular search form has a checkbox Match all criteria exactly checked by default. When you enter a partial name in Last/Org/Group name field such as 'general" it knows this is not the exact name of the Organization or Individual as it appears on the record. Since there are no records with the name general in the database it finds 0 results. If you uncheck match all criteria exactly, when you search for partial names you will get results.