Aus Application and name order as per passport

i am going to submit a skills assesment in ACS. One issue is, my first name is A and my last name is B, but on my passport, my last name is A, and my first name is B. However, on all other documents and IDs my name is AB. I want to submit the application with my first name as A and last name as B.
Will it be an issue when they match it with the passport? The spellings are all same, its just the order.