I have noticed that your dates column contains two different ways of presenting a date. Provided that this this does not change, you can use a combination of IF, LEFT, RIGHT and MID functions together with YEAR, MONTH and DAY functions to extract day, month and year from the 'Date' column. Subsequently, you can use DATE function to reconstruct dates in the 'dates' format, which then can be sorted. Please find attached a solution ( I have converted the data to a table for an easier sort).
Another way is to select first part of the column E (E2:E210), Data->Text to Columns and on the third step of the wizard select dates and DMY. Repeat the same for the rest (starting from E211) but apply YMD. And that apply date format to entire column E.