85 voted in favor, five less than the required amount.
The impeachment of Mayorkas, who is Jewish, passed Tuesday on party lines by a vote of 214-213, with three Republicans breaking ranks.
House Republicans are holding the government hostage, refusing to budge unless the ultra-conservative wing’s ever-changing demands are met.
The lawsuit accuses Garrett Ziegler, a former aide to Trump trade adviser Peter Navarro, of violating California's computer fraud and data access laws, and demands a jury trial.
Three committees in the Republican-controlled House of Representatives are investigating unproven allegations of financial misconduct by Biden and his son Hunter Biden.
House Speaker McCarthy tweeted on Sunday that US Attorney David Weiss must answer questions about whistleblower allegations that the Justice Department intervened in the case to protect Biden's son.
"Contrary to what was claimed in the media, I did not hold discussions regarding the impeachment of the prime minister," said Baharav-Miara.
A conflict of interest arrangement prohibits Netanyahu from being involved in legislation that has an impact on the proceedings against him.