Did Voldemort know that his wand's core came from Fawkes?

"Exactly," said Dumbledore. "Harry’s wand and Voldemorts wand share cores.
Each of them contains a feather from the tail of the same phoenix. This phoenix, in
fact," he added, and he pointed at the scarlet-and-gold bird, perching peacefully on
Harry’s knee. (Harry Potter and the Goblet of Fire, Ch 36 – The Parting of the Ways)

Did Voldemort know that his wand’s core originated with Fawkes?

If so, when did he find out?

_{NOTE: I’m asking only about Fawkes. We know that Voldemort found out about the twin cores after he kidnapped Ollivander and tortured that fact out of him.}