The Red Devils secured the title after beating Ismaili 1-0 in the league decider played on Sunday in Alexandria.
"Some media reports referred to us as an ageing team, and now I want to congratulate my ageing team for winning a fifth consecutive title," Barakat jokingly said.
"It's the first time we feel such joy for winning a league. This season was more difficult than any of the previous ones I won with Ahli."
From his side Ahmed Hassan said that winning the league is the most important trophy he ever achieved.
"The league is the first local competition I win in Egypt," the veteran midfielder said after the game.
"I've always wished to win the Egyptian League, and I'm delighted I managed to do that with Ahli."
Hassan, who was crowned as African champion three times with Egypt, had a glorious career in Turkey and Belgium before joining Ahli last summer.