With the likes of Dimitri Payet and Florian Thauvin shining in attack, Marseille have impressed throughout the campaign.
The France global defied a thigh injury to lead Marseille out in Lyon but he lasted little over half an hour.
Payet had rolled the ball through to Valere Germain in the opening five minutes only for the midfielder to fire wide.
Substitute Kostas Mitroglou almost set up a grandstand finale, his header coming off Jan Oblak's post, before Gabi's low drive in the 89th minute made it 3-0.
Atletico Madrid have won this competition on two previous occasions in 2010 and 2012. In truth the semi-finals against Arsenal provided a bigger challenge for Simeone's side, who did not even need to be at their very best here.
Atletico will be bidding to win Europe's secondary competition for a third time when they face Olympique de Marseille in Thursday's final in Lyon, France, having been knocked out of the Champions League in December by finishing third in their group. It also featured a celebration from the video game "Fortnite". But when Anguissa's error was anticipated and pounced upon by Gabi, the locally born, boyhood Lyon fan was super cool as he tricked his France teammate Mandanda and rolled the ball nervelessly into the net.
Researchers Uncover Two Hidden Pages in Anne Frank's Diary
This time , advanced imaging technology revealed the text beneath the pages. Anne died at the Bergen-Belsen concentration camp in 1945, aged 15.
"Antoine - if he stays we'll continue to grow and develop", the Argentinian said.
The difference between the two sides was laid bare after just 20 minutes, when Atleti, and Griezmann, showed just how ruthless they can be.
Not that OM did not make a real go of it.
Griezmann's man-of-the-match performance means rumours of an impending departure will increase in quantity, and could well compare with the number of flares brought to proceedings by the Marseille faithful.