I’ve noticed a lot of grammar abnormalities lately regarding the verb: “to cry”. Due to the large amount of poetic texts on the web, people started to use the preposition “about” as a replacement for the correct ones (because, for) asked by the verb.
There are poetical texts like: “something to cry about” which can easily be replaced with: “a reason to cry”. The same situation goes for: “nothing to cry about” which stands for “no reason to cry”. Both of these forms are correct in the given situation.
However, a lot of people did start to use “to cry about something” in various situations.
“Don’t cry about me” is not, by any means, a correct form. The natural, grammatically correct version is: “Don’t cry because of what I did” or “Don’t cry for me”.