Cheney appeared on both the ''CBS This Morning" and "Good Morning America" programs to talk about her role in a congressional committee investigating the riots.
''Mike was an absolute giant in our state and his sudden loss just months after retiring from the U.S. Senate is difficult for all of us to accept," Cheney said in a statement.
Trump has claimed widespread election fraud, but a series of court challenges on his behalf have been unsuccessful in overturning the election results.