Digvijay had raised the issue yesterday.
"It is an attempt to defame our family," Jaivardhan told PTI.
"This is totally unfair to our family which is tax-payee. MP Government is responsible for it as its officials make the BPL list," he said.
"I am going to raise this issue in the ongoing Monsoon session of Assembly, pressing for investigation and action against the concerned officials," he added.
"We have neither applied nor taken any benefit under BPL. This is a conspiracy against me and my family," he tweeted.