The former Texas congressman accused Cruz of sedition and called for his "expulsion" from the Senate, following the deadly Capitol riot.
The last time a presidential candidate won the Lone Star State was Jimmy Carter in 1976.
A Biden win in the Lone Star State would be a major political victory and would likely hand him the presidency.
"Abbott opens Texas too soon, issues mask order too late, denies local leaders authority to contain the virus ... and then blames local officials? Pathetic. Resign," O'Rourke wrote.
Tucker Carlson held a mocking remembrance of Beto O'Rourke's campaign, which ended on Friday.
Andrew Yang, Pete Buttigieg and Beto O'Rourke are among the 2020 candidates who have defended Tulsi Gabbard after Hillary Clinton accused her of being a Russian agent.
President personally requested meeting with New Zealand prime minister on the sidelines of the United Nations General Assembly.
Democratic Presidential candidate Beto O'Rourke has been called "AR-15 salesman of the year" after making incendiary comments earlier this month which vowed government confiscation of the weapons under his proposed administration.
An impassioned Beto O'Rourke told CNN's Dana Bash Sunday the epidemic of U.S. gun violence is "f***ed up" just one day after the second mass shooting in less than a month in his home state of Texas.
"Trump is living in a parallel universe. He is way out of touch with ordinary people. He must be defeated," one candidate said.
The many tributes included touching stories, references to family separation at the U.S. Southern border and other calls to political action.
"Morning Joe" hosts Mika Brzezinski and Joe Scarborough urged 2020 Democratic candidate Beto O'Rourke to "stop apologizing" for being white, wealthy or male after his very apologetic appearance on "The View."
A former Republican aide who rejects the scientific community's consensus on climate change said carbon dioxide is not pollution, dredging up a decades-old defense of CO2 emissions in order to write off Beto O'Rourke's newly announced climate plan.
"Wow," Counselor to the President Kellyanne Conway's husband George Conway said in regards to the poll.
"I helped prepare Senator Ted Cruz for his 2018 debates, and here's what I learned: Beto O'Rourke is the toughest candidate I ever prepped against and one of the most impressive I've ever seen."
Democratic U.S. Senate candidate Beto O'Rourke of Texas, with help from Willie Nelson and other country singers, hosted the largest single-candidate political rally in the country at least since the 2016 presidential election.
The congressmen's 1,600-mile trip in a Chevy Impala will take 24 hours.