If you cash in more than one tourney on the same day, multiple badges will only be added if your 1st finish place is not equal to the 2nd.
Example:
Cashed twice in one day. Both times finished 3rd.
Result: One badge has been added to badge queue
Cashed twice in one day, once for 3rd place and once for 4th.
Result: two badges have been added to badge queue