After 72 minutes, Rogic were awarded a free kick as their counter attack dried up.
Barely ten minutes later, she was close to becoming a two-goal shooter when she got a great position on the rebound when Matilda Plan nodded in the crossbar on a free kick, but Rogic's finish went outside the goal frame.
Despite the form, Eskilstuna's victory is only second at home.
The 0-1 loss is both AIK's fourth straight loss and the fourth straight match without a goal going forward.
CLIP: Double goals by Häcken's 19-year-olds
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Double goals by Häcken's 19-year-olds Photo: Bildbyrån