The draw for the third round of this season's EFL Cup will take place at around 10 p.m. BST, 5 p.m. ET on Wednesday, Aug. 24.
Rhodes has had to watch on from the sidelines as newly-promoted Boro have made an unbeaten start in the Premier League.
Mannone, 28, sustained the problem in training and joins the Black Cats' growing injury list.
Liverpool manager Jurgen Klopp has admitted that striker Daniel Sturridge is still lacking match sharpness, but is "all you need" when 100 percent.
Jurgen Klopp insists his Liverpool side will go all out to try and win the League Cup after coming so close to lifting the trophy last time.