Mane netted from 12 yards with 10 minutes on the clock, before Mbodji stuck later on.
It was a cracking match, with Zimbabwe recovering brilliantly from a nightmare start.
On January 11, an interim order was issued restraining the defendants
Burkina Faso, the 2013 runners-up, recover to equalise with quarter of an hour left against Cameroon.
Gabon captain Pierre-Emerick Aubameyang's goal is cancelled out by a late Juary Soares' header.
The omens finally appear to be falling in place for Uganda after years of qualifying heartbreak
The "Warriors", who have all now arrived in Gabon, look to overcome their minnows status in their opening Group B game on Sunday against Algeria, followed...
Buffaloes coach Edgar Lamerigar believes it is time to revenge the 15-12 Uganda Cup defeat last season.
Jose Mourinho's sixth-placed side still trail Chelsea by 10 points and lag five behind second-placed Liverpool.
"We will progress every year but we need to push more," says Koscielny, 31.
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