to press and rub someone's body with your hands, to help them relax or to reduce pain in their muscles:
Alex massaged Helena's aching back.
massage something into something
Gently massage the lotion into your skin.
to change official numbers or information in order to make them seem better than they are - used in order to show disapproval [= cook the books]:
Myers accused the government of deliberately massaging the unemployment figures.
to try to make someone feel that they are important, attractive, intelligent etc:
The portrait painter had the power to massage the king's ego or to expose his flaws.