The men, who have been held for three years in Venezuela, were immediately sentenced to prison, according to defense attorneys.
The men have been detained for over two years since Venezuelan officials asked them to travel to the country for a meeting.
Diosdado Cabello met last month in Caracas with someone who is in close contact with the Trump administration, AP reported Sunday.
Michelle Bachelet arrived in Venezuela to meet President Nicolás Maduro and opposition leader Juan Guaidó, who are fighting for control as nation faces crisis.
Amid the mayhem, an armored utility vehicle drove at full speed into the crowd.
"More is on the way."
The U.S. Geological Survey put the magnitude of the quake at 7.3.
The 26-year-old's plea comes amid rioting at the prison where he has been held without trial since 2016.
Lopez was transferred to a military prison on Tuesday.
Authorities said 10 people were killed in the confrontations, which made Sunday one of the deadliest days since massive protests started in early April.