Mr Raut said Mr Gandhi was among those who had made appeals to the government to save Memon.
"Gandhi had used all his powers to save Yakub Memon. He even had written to the President. I want to ask (opposition) what kind of mindset is this," he told reporters.
In July 2015, Mr Gandhi had written to President Pranab Mukherjee to "reconsider" the rejection of Memon's mercy plea.
Opposition parties' vice presidential candidate Gopalkrishna Gandhi has said he will file his nomination tomorrow.