Father of one of the victims said why would they demand a CBI inquiry if they had killed their daughters.
Accusing the police of twisting the case, he said, "we want the matter to be probed by CBI so that reality comes to light."
The family members said that they were not safe in the village and alleged that police and SIT team were pressurising them.
"We want only a CBI inquiry. We have no faith in police and will not record any statement before it. We will give statement only before CBI," they said.
The family members said that if the situation remains the same, they would be forced to leave the village.
Asked about DGP's statement that property may also be a motive behind the gruesome crime, the father said that he and his three brothers live together and they have only three-and -a-half bigha land.
In a new twist to Badaun gang-rape and murder case, DGP Banerjee yesterday had said rape of one of the two girls, who were found hanging from a tree, was not confirmed by forensic experts and that property could be a motive for their murder.
"Of the two victims, one was a lone child. Her father has three brothers who have limited resources. In case she is not alive, then it can benefit others. It (property) can be one of the motives. I am not saying that this is the motive," Banerjee told reporters in Lucknow.