Taylor, who fired home Pompey's third goal against Bolton from the penalty spot, has been the subject of speculation over a possible switch to Tottenham.
But Redknapp said: "I saw something in the paper which said I'd offered money and Gary for Yakubu, about £10million-plus, but I don't know where that came from.
"I've never offered Gary O'Neil to anybody. It's nonsense. Nor Matty Taylor.
"They are two lads who are here. I want to keep two of my best players."