1. She made herself up in front of the mirror.
2. She made up herself in front of the mirror.
3. She likes making up before the mirror.
(Are they grammatical?)
4. She applied cosmetics on her face.
5. She applied makeup on her face.
(Are both the same in meaning?)
She put on make up ... <~~That's the standard phrasing.
1 is OK, but 2 is not.
3 has more than one meaning; I wouldn't use this phrasing.
4 and 5 are OK.