Does Mine die in Akame ga Kill! manga? I have watched all the anime episodes and Mine dies in episode 22. 

Does she die in the manga as well? I read the last few chapters of the manga where Tatsumi speaks about her like she is not dead.
No, she didn't die in the manga. However, in order to defeat General Budo, she used all her power in the final attack with Pumpkin and fell in a vegetative state as a result.

This happened in Chapter 56:


   
 


In the last chapter (Chapter 78), 


   she's shown to regain consciousness after Tatsumi's return from the battlefield. It is also mentioned that they had children and lived a gentle and peaceful life.