[1] In 1999, after a PRD-PAN alliance beat the PRI in the gubernatorial elections, Acosta became the subsecretary of government but soon after clashed with Antonio Echavarría when the latter asked him to support the PAN's presidential candidate in 2000, Vicente Fox.
He also clashed with Andrés Manuel López Obrador, disagreeing with his decision to disrupt the delivery of Vicente Fox's final government report in the aftermath of the 2006 presidential election.
[1] In 2009, the PRD placed Acosta Naranjo on its list from the fifth region, sending him to the Chamber of Deputies for the LXI Legislature representing the State of Mexico.
He was a president of the Board of Directors and served on commissions dealing with public spending, government, labor and social welfare, and the sugar industry.
[2] While a deputy, he made a failed bid for governor of Nayarit, and from 2013 to 2014, he was the PRD's technical secretary for the Guiding Council of the Pacto por México.