City appeared in disarray as they fell 3-0 behind on aggregate following goals from Mathias Fernandez and Ricky van Wolfswinkel in the first half of the second leg of the last 16 tie.
Yet City were as good in the second period as they were bad in the first, hitting back through two Sergio Aguero goals and a Mario Balotelli penalty to fall agonisingly short of the quarter-finals.
Keeping the dream alive: Sergio Aguero beats Rui Patricio after receiving Yaya Toure's pass
Fall guy: Aguero goes down as City win their penalty
Mancini appeared frustrated by Balotelli's actions - and exchanged words with his fellow Italian - but Fernandez took full advantage as he curled a fine shot around the wall which Hart could only palm in.
Happy chappy: Fernandez shows his delight after his stunning free-kick
Vip swithat Roberto Mancini ha ha ha ha,elekeza elekeza fresh
Hapa mashabiki ndo noma,Kibongobongo mfano hao ndo Yanga,tungesema Mengine saivi wale wachezaji na mashabiki wao wa kashata na kahawa jangwani akili zao sawaaaaaaaaaa kabisaaaaaaaaa