The Bhoys ran out 3-0 winners over Dundee at Parkhead to give themselves a two-point cushion over St Mirren at the top of the Scottish Premiership table.
Phillips, on loan from Liverpool, was brought off at half time, while Kyogo managed 69 minutes before then being substituted.
Rodgers admits that both players had injury concerns which were part of them being replaced, but he is confident they will be fine for Tuesday’s Champions League meeting with Feyenoord.
The Celtic boss told BBC Scotland: “Nat just rolled his ankle in the last action of the first half, so we just wanted to protect him.
“Kyogo felt a little bit on his shoulder and he needed a bit of work inside.
“But he came out and it didn’t really affect him as he scored and set up another.”
Celtic will be looking to start their Champions League group stage campaign on a positive note when they lock horns with Feyenoord.
The Dutch outfit were also in action on Saturday and saw off Heerenveen 6-1 in the Eredivisie.
