Roberto Martinez is focusing on Everton's final 11 games rather than talking about the World Cup or players' contracts.
Arsenal forward Lukas Podolski has denied claims that he was offered in a swap deal for Schalke's Julian Draxler.
Former Sunderland midfielder Rae played alongide Ince at Wolves before working as part of his backroom team at MK Dons and Notts County.
The 43-year-old ex-Dundee player manager had been working with the Dons as a chief scout and joins Steve Thompson in assisting Ince, who lost his first game at the helm against Leeds on Wednesday night.
Ince told BBC Radio Lancashire: "He's got a vast amount of knowledge, which he can lend to the players and the rest of the staff.
"He's now part of the team alongside Thommo."