Former New York City Mayor Rudy Giuliani doesn't blame Mayor Bill de Blasio for the murder of two police officers in Brooklyn last week. But de Blasio should still apologize to the NYPD for creating “an impression with police that he was on the side of the protesters,” the former mayor said on CBS News’ Face the Nation. "Mayor de Blasio, please say you're sorry to them for having created a false impression of them," Giuliani said. "You did create a false impression of them. Say you're sorry. Say you didn't realize. Say you didn't realize you have ... a nonwhite police department, in terms of majority."

On Fox News, Giuliani said that he feels “uncomfortable” that police officers turned their backs on de Blasio while he was eulogizing officer Rafael Ramos on Saturday. But at the same time, “I think at this point I have to say, he’s bringing it on himself,” Giuliani said.

Giuliani also doubled down on his accusations that President Obama was guilty of fostering anti-police sentiment across the country. The Washington Post had previously said that Giuliani’s claim was so inaccurate it deserved “four Pinocchios.” But Giuliani said Sunday the key to his claim was how many times Obama has appeared next to Rev. Al Sharpton. “If he would like to have a poster boy for hating the police, it's Al Sharpton," Giuliani said. "Actions speak louder than words. You put Al Sharpton next to you, you just told everyone, ‘I'm against the police.’ ”

Meanwhile, New York City Police Commissioner William Bratton struck a different tone, telling CBS News it was “very inappropriate” for officers to turn their backs on de Blasio at the funeral. Still, on NBC News, Bratton warned the “rift” between the mayor and police officers “is going to go on for a while longer,” and added that “they really do feel under attack, rank-and-file officers and much of American police leadership.” This attack, he added, is coming “from the federal government at the highest levels.”