According to the new Timeline from the updated Cursed Child, Voldemort actually searched for the Hallows:
"Voldemort murders Snape to obtain the Elder Wand in his quest to unite the Deathly Hallows."
Now, it seems to me that this is contradicted by the books:
“And Voldemort never knew about the Hallows?”
“I do not think so, because he did not recognize the Resurrection Stone he turned into a Horcrux. But even if he had known about them, Harry, I doubt that he would have been interested in any except the first. He would not think that he needed the Cloak, and as for the stone, whom would he want to bring back from the dead? He fears the dead. He does not love.”
Harry Potter and the Deathly Hallows, Chapter 35: King's Cross
Also, even assuming Dumbledore could be wrong, you have to answer the question why Voldemort would make the Stone a Horcrux if he knew what is was. And we never see Voldemort wanting the cloak.
So did Voldemort search for the Hallows?