Lopez, who is among several officials sanctioned by the United States and European Union for human rights violations and corruption, was appointed by Rodriguez in January as the head of the presidential guard and the General Directorate of Military Counterintelligence (DGCIM).
He previously worked with Rodriguez as head of strategic affairs at PDVSA, the state-owned oil company, which she previously oversaw as energy minister.
Padrino had also been sanctioned by the U.S. over alleged drug trafficking and his support for ousted President Nicolas Maduro.
Despite the U.S. intervention, Venezuela's repressive apparatus remains intact, the United Nations said last week. The government has repeatedly denied allegations of human rights and political oppression.
The United States recently restored diplomatic relations with the South American nation following years of heightened tensions between the two states.