even if [I] don’t know은 marks a contrast, and 몰라도 means “even if [someone] doesn’t know.” The examples provided use related forms such as 은 몰랐어요 (“didn’t know”) and 은 모르겠어요 (“don’t know”), rather than 은 몰라도.
KO: 이름은 몰라도 얼굴은 알아요.
EN: I may not know the name, but I recognize the face.