The high profile couple recently visited Cuba on a holiday trip and also posted a photograph.
Mauricio Claver-Carone, the DC director for the US-Cuba Democracy PAC, a group committed to fighting for democracy in Cuba, said the pair should have educated themselves about what's really going on there before taking photo ops, reported TMZ.
According to him, the couple are oblivious to the tortures happening in Cuba on a daily basis and they should have known better.
Last Thursday, Jay and Beyonce were photographed in Havana, reportedly celebrating their 5th wedding anniversary.
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And while the couple probably did that, according to some Cuban-American groups, their s holiday was insensitive and painted the wrong picture of the country.
Mauricio says he is disappointed the superstars chose to vacation in Cuba.
"There are women getting beaten on a daily basis, women who are being jailed for no reason ... People are fighting for their freedom. It is extremely insensitive.