Datumbereik selecteren MySQL met date_format

Gebruik STR_TO_DATE omdat je string . wilt converteren terug naar date

SELECT MvtDate, date_format(MvtDate,'%d-%m-%Y')
FROM  `immmvt`
WHERE MvtDate BETWEEN STR_TO_DATE('01-01-2010','%d-%m-%Y') AND 
                      STR_TO_DATE('02-01-2010','%d-%m-%Y')

FYI: DATE_FORMAT() converts date to formatted string representation.
     STR_TO_DATE() converts formatted string back to date