The Liverpool forward was involved in two of his nation's three goals as they progressed to the final, where they will face either Cameroon or Reds teammate Mo Salah's Egypt.
Paris Saint-Germain duo Abdou Diallo and Idrissa Gueye scored the first two for The Lions of Teranga, netting both goals towards the end of the second half.
Mane cleverly assisted Gueye's strike, potentially proving he's still got it, after Jurgen Klopp signed Colombian winger Luis Diaz on deadline day.
Ibrahim Blati Toure pulled one back for Burkina Faso with five minutes remaining and it looked as though they may be able to force extra time.
But Mane made sure that there would be no comeback by netting a third late on - his third of the tournament.
Senegal will find out who they will face in the final on Sunday, when Cameroon take on Egypt on Thursday.