Raquel Leviss and James Kennedy also called it quits ... "James has always felt like my parents haven't embraced him into the family the way that he wanted to be. I found myself making excuses ...

Leviss, who previously went by the name Raquel, filed the lawsuit in Los Angeles ... which is owned by NBCUniversal, TODAY.com's parent company.) Leviss is suing her former co-stars for damages ...