Barca's Lionel Messi put his side ahead in the first half but Granada rallied for a surprise victory with two second-half goals at the Camp Nou Stadium.
Karim Benzema put the champions in charge at a soggy Alfredo di Stefano stadium with a delightful backheel in the 14th minute while a deflected Toni Kroos free-kick doubled their lead in the 28th.
Laporta was last president at Barca between 2003 and 2010, which included overseeing the hugely successful appointment of Pep Guardiola as coach and the iconic treble-winning team of 2008/9.
Barcelona coach Koeman says club image damaged, admitting he was devastated by arrest of former club president Josep Maria Bartomeu as Barca prepares for Copa del Rey semi-final second leg at home to Sevilla.
The 22-year-old Kylian Mbappe's goals in the round of 16 first-leg tie made him the first-ever player to score a hat-trick against Barcelona in the knockout stages of the Champions League.
Messi had sat out the previous two games suspended after being sent off in the Spanish Super Cup final defeat by Athletic Bilbao but looked refreshed and ultimately made the difference again.
La Liga champions top the list among Europe's major leagues with $832 million (681.2 million euros), followed by Bayern Munich, Liverpool and Paris St Germain.
Meanwhile, Lionel Messi and Antoine Griezmann each scored twice as Barcelona thrashed Granada 4-0 away to win a third consecutive La Liga game for the first time this season.
Talking about his future Lionel Messi says he has no plans to become a coach when he retires from playing, and adds that he is more interested in being a director of football than working in the unforgiving world of football management.
Messi's Barcelona were top of the Spanish football league with 11 games to go when last season was disrupted by the Covid-19 pandemic, but the Catalans lost the title to Real Madrid when play later resumed in empty stadiums.
A third consecutive league win took third-placed Real on to 26 points after 13 games, level with second-placed Atletico Madrid and leaders Real Sociedad but having played two games more than Atletico.
Real Madrid’s struggles in the Spanish league continued as city rivals Atletico moved level with leaders Real Sociedad after extending their winning run to six matches.
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