Esperance lost both legs in the semi-final, despite starting as favourites to take the title this year.
Dynamos beat Entente Setif 1-0 in Harare whilst Mazembe came from behind to beat Esperance in DR Congo.
He has also had coaching stints at USM Alger, Mouloudia Oran and Tunisian clubsides Esperance, Stade Tunisien and Monastir.
But after the goal, Esperance took over with Ali Zitouni and Mourad Melki coming close to scoring the equalizer.
It has now been a decade since Esperance's last success in the tournament, despite being regular features in the Champions League.
The goal came against the run of play as Esperance spent most of the afternoon pegged back inside their own half.
Hearts meanwhile qualified for two Champions League finals, beating Esperance of Tunisia in the 2000 final under present coach Jones Attuquayefio.
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He joined Tunisian side Esperance Sportive in 1999 for an undisclosed fee.
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Esperance captain Badra, who has played in five Nations Cups, as well as defenders Tarek Thabet and Skander Souayah are all approaching retirement.
BBC: SPORT | Football | African | Esperance rewrite Tunisian football
Also leaving Esperance is controversial president Slim Chiboub, who is standing for election to both the Caf and Fifa executive committees later this month.
In looking to explain Esperance's domestic domination, one factor is their efficient organisational and administrative structure, which is the envy of many Tunisian sides.
BBC: SPORT | Football | African | Esperance rewrite Tunisian football
Mazembe sealed a second successive triumph with just over 20 minutes remaining, when Mukok Kanda equalized and ended any hopes of an Esperance comeback.
In the other game in Group A, reigning champions TP Mazembe fought back from 1-0 down to beat visiting Esperance of Tunisia 2-1 in Lubumbashi.
In an ill-tempered second-half veteran striker Hassan failed to score after the Esperance keeper, Jean-Jacques Tizie, had left his line to close down on Emam.
Meanwhile, Esperance won Group B in convincing fashion, going through their six games unbeaten and drawing only two games that were both played away from home.
The only shock is that the decision has taken so long, as it comes six weeks after Esperance's defeat to Egyptian side Ismaili in the semi-finals.
The Nigerians will not know their opposition until after this weekend, when Ismaili of Egypt and Esperance of Tunisia, play their second leg semi-final in Tunis.
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Missing their star player, Mazembe struggled in the early rounds of the African Champions League, but battled through before hammering Tunisian side Esperance 5-0 in the final.
Yet this season's side was certainly not one of Esperance's best - and their rivals, who were equally full of talent, can look to the future with optimism.
BBC: SPORT | Football | African | Esperance rewrite Tunisian football
Enyimba now play Group B winners Esperance in the semi-finals.
Esperance lead the Tunisian championship, with 25 points from 11 games, three points ahead of Etoile (22), and four in front of CS Sfaxien and AS Marsa (both 21).
Zouaoui is also a past victim of the regular changes, which come despite Esperance's dominance on the domestic circuit where they stand three points clear in the Tunisian league.
With Tunisia needing to win the game to advance, Trabelsi's men fought back and deservedly drew level when Mouelhi converted from 12-yards following a foul on Esperance midfielder Hichri.
Having won the first leg 5-0, Mazembe were overwhelming favorites ahead of the clash in Rades but fell behind to an early goal from Esperance's Ghanaian defender Harrison Afful.
In Group B, Tunisia's Esperance, who were the seeded team in the group, will face USM Alger of Algeria, Jeanne d'Arc of Senegal and South African side SuperSport United.
"Everyone here is enthusiastic and dreams of victory, but we should not underestimate Esperance, as they are one of the most experienced sides in Africa, " Bucker told the BBC Sport website.
If Esperance are to overturn the odds, they will have to look to Eneramo, who has scored nine goals in the competition so far, and he is not short of confidence.
Yet this instability seems to have temporarily abandoned Esperance.
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The 24-year-old becomes the second Brazilian-born player to be naturalised for Tunisia after Jose Clayton, and the Esperance defender has played in the last two World Cup finals for the north African nation.
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Esperance had seemed on their way to a priceless victory when midfielder Jaouar Mnari scored with a sensational right-footed volley from the edge of the Enyimba box with only 13 minutes to go.
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