When I enter a date I do it as: dd-mm-yyyy
Entered that way I can't format individual part of the date. If I change it to text by entering 'dd-mm-yyyy I can format mm with red color (highlight mm and select red font color).

You may be able to do the same if you enter '12.06.2016

If 12.06.2016 is entered as date or generated by formula you can't format part of the date.