By Veronica Stracqualursi, CNN

(CNN) -- Senate Minority Leader Mitch McConnell warned big businesses they would face "serious consequences" after accusing them of employing "economic blackmail" in attempts to influence voting laws as the backlash over Georgia's elections law that imposes voting restrictions intensifies.

"From election law to environmentalism to radical social agendas to the Second Amendment, parts of the private sector keep dabbling in behaving like a woke parallel government," the Kentucky Republican said in a statement Monday. "Corporations will invite serious consequences if they become a vehicle for far-left mobs to hijack our country from outside the constitutional order."

"Businesses must not use economic blackmail to spread disinformation and push bad ideas that citizens reject at the ballot box," he added.

His statement comes after Major League Baseball's decision to no longer host the All-Star Game in Atlanta, potentially sparking other boycotts of the state, and several businesses condemned the new Georgia elections law.

McConnell accused Democrats of lying about the Georgia law hastily passed by state Republicans and signed into law last month by GOP Gov. Brian Kemp.

He disputed the claim from President Joe Biden and others that the Georgia voting law is reminiscent or worse than Jim Crow-era laws, arguing that "nobody really thinks this current dispute comes anywhere near the horrific racist brutality of segregation."

"Our private sector must stop taking cues from the Outrage-Industrial Complex. Americans do not need or want big business to amplify disinformation or react to every manufactured controversy with frantic left-wing signaling," McConnell said in his statement, adding that "it's jaw-dropping to see powerful American institutions not just permit themselves to be bullied, but join in the bullying themselves."

McConnell also slammed congressional Democrats' legislation, the "For the People Act," as a "power grab" of all 50 states' election laws and the Federal Election Commission that "is impossible to defend, so the left wants to deflect." The measure, which does not have enough votes in the US Senate to pass, would override many of the restrictive provisions in the new Georgia law and others like it.

The Georgia law imposes voter identification requirements for absentee ballots, allows state officials to take over local elections boards, limits the use of ballot drop boxes and makes it a crime to give or offer voters food and drink as they wait in line to vote.

MLB's move to relocate the All-Star Game, potentially costing Georgia $100 million in lost economic impact, was the first in response to the state election law. Atlanta Democratic Mayor Keisha Lance Bottoms on CNN Saturday predicted that it would be the "first of many boycotts of our state to come."

During a news conference Saturday, Republican Gov. Brian Kemp said he would not waver or be swayed if Georgia were to lose more events, thus costing the state more business and tourism dollars.

He accused MLB of putting Democrats' wishes "ahead of the economic well-being of hard-working Georgians who were counting on the All-Star Game for a paycheck."

Democratic Sen. Raphael Warnock of Georgia, like other Democrats, said he respected MLB's decision, but hoped businesses would protest the law not by boycotting the state, but "by coming here and fighting voter suppression head on."

After the law was passed, some of the nation's most prominent Black business leaders called out their Fortune 500 peers for their muted response to new laws that restrict voting across the country, and challenged them to be more forceful in condemning what they said were deliberate attempts by Republicans to limit the number of Black Americans casting ballots in key states.

At an event in his home state Monday, McConnell said he "found it completely discouraging to find a bunch of corporate CEOs getting in the middle of politics. My advice to the corporate CEOs of America is to stay out of politics."