She dies durring the movie. Her sync was high enough for her to recieve the damage that Unit 02 suffered. Also you can see her bleeding from where the Lance hit, then her bowels were ripped appart, then her arm cut in two, then shot by a bunch more spears. SHE DIED. However, when Shinji wished for a world we get in the end, she was the first one to be next to Shinji on the shore, THE END.
You read only what you wanted, didn't you? In the end, everyone is turned into LCL, everyones soul resides in the Sea of LCL, and Shinji (being the God at the moment), decided that if someone wishes to have a body again, they will have it. Dead are also in the LCL, Asuka too. She wished to have a body again, therefore, she got it.