Need help, "no more than" or "not more than"?

It really confused me. I don’t know the differences between “no more than” and “not more than”. For example, “She eats nothing but drinks no more than two bottles of orange juice” and “She eats nothing but drinks not more than two bottles of orange juice”, which one is correct?

The two phrases probably have almost the same meaning.

 http://ask.metafilter.com/95640/No-more-than-vs-not-more-than

I think both are correct too

Hi tiffintime, riad, h-a-h and nat, thank you all for telling me your opinions. So, maybe both are correct but “not more than” is more standard?

You are right, i believe in you…

Technically "not more than" is correct but I think in general usage "no more than" is acceptable as well.  I know that as a native english speaker I would probably be more inclined to use "no more than" as would most of us.

 “She eats nothing but drinks no more than two bottles of orange juice” and “She eats nothing but drinks not more than two bottles of orange juice”,

I think you could also say "drinks not over two bottles"; but it wouldn't sound right if you said "drinks no over two bottles".   

http://grammar.quickanddirtytips.com/more-than-versus-over.aspx

http://www.copyblogger.com/5-common-mistakes-that-make-you-look-dumb/