General synonyms:
* Distort
* Falsify
* Pervert
* Twist
* Deform
* Misinterpret
* Misconstrue
* Misstate
* Misquote
More specific synonyms:
* Exaggerate (if the misrepresentation is an overstatement)
* Downplay (if the misrepresentation is an understatement)
* Lie (if the misrepresentation is deliberate and intended to deceive)
* Deceive (if the misrepresentation is intended to mislead)
* Fabricate (if the misrepresentation is completely made up)
* Spin (if the misrepresentation is intended to present a particular perspective)
* Disguise (if the misrepresentation is intended to conceal the truth)
The best synonym to use will depend on the specific situation and the intent of the misrepresentation.