Casting the rioters as "patriots" and "hostages", Trump claimed they were unfairly treated by the Justice Department that also charged him with federal crimes in two cases he contends were politically motivated.
Thousands of people had turned up in the US capital on Saturday to show support to Trump and protest against the results of the presidential elections.
The confrontation comes days after the FBI executed a search warrant at former president Donald Trump's Florida estate.
Biden alleged that Trump has used everything as a "dog whistle" to try to generate racist hatred and division.
During the first of the three presidential debates in Cleveland, Ohio, Trump and Biden clashed over each other's personality, past record, family and their visions.
Hyderabad-born Gadde, 45, is Twitter's legal, public policy and trust and safety lead.