Yes, you should change the search settings to use AND as the separator.
using or, your search of:
bon in tour field and 2014-06-01 date field
will look for :
DetailItemDesc LIKE '%bon%' OR OrderDate >= 2014-06-01
if you want to return only where both conditions are met, you need to use and so your search will be:
DetailItemDesc LIKE '%bon%' AND OrderDate >= 2014-06-01