The Washington Post questions it here in a story with the headline:
Marco Rubio’s compelling family story embellishes facts, documents show
The senator responds in a statement:
To suggest my family’s story is embellished for political gain is outrageous. The dates I have given regarding my family’s history have always been based on my parents’ recollections of events that occurred over 55 years ago and which were relayed to me by them more than two decades after they happened. I was not made aware of the exact dates until very recently.
What’s important is that the essential facts of my family’s story are completely accurate. My parents are from Cuba. After arriving in the United States, they had always hoped to one day return to Cuba if things improved and traveled there several times. In 1961, my mother and older siblings did in fact return to Cuba while my father stayed behind wrapping up the family’s matters in the U.S. After just a few weeks living there, she fully realized the true nature of the direction Castro was taking Cuba and returned to the United States one month later, never to return.
They were exiled from the home country they tried to return to because they did not want to live under communism. That is an undisputed fact and to suggest otherwise is outrageous.