The England midfielder, who moved to Madrid from Borussia Dortmund in June, netted his sixth goal in six games this season.
The 23-year-old could also miss the start of Brazil's World Cup qualifying campaign, having been substituted after 15 minutes. Real face Getafe on Sept. 2 while Brazil host Bolivia six days later before travelling to Peru on Sept. 12.
City, who were beaten by Real at the same stage last season, avenged that heartbreaking defeat with a brilliant performance in front of their jubilant fans, with only Real goalkeeper Thibaut Courtois preventing them inflicting even more damage.
Benzema was in red-hot form, scoring 15 times in the competition and lifting the trophy for a fifth time in his career after the Spanish side beat Liverpool in the final.
Casemiro wants to leave Real Madrid in order to sign for Premier League side Manchester United
Europa League winners Eintracht had offered some resistance in the first half and had chances to score but were eventually overrun by the Spaniards.
Ancelotti has a golden chance on Saturday to be the first manager in the competition's history to win the prestigious title four times.
Ancelotti has backed forward Karim Benzema to win the Ballon D'Or, comparing the Frenchman to a wine that gets better with age.
Bale has said he expects to discuss his future at Spanish giants Real Madrid with the team's new manager Carlo Ancelotti.
Ancelotti said he will demand more goals from Real Madrid’s strikers next season and promised to play thrilling, attacking football.
Richarlison is not consistent enough for the attacking quality that he possesses and can offer a lot more going forward, manager Carlo Ancelotti has said.
Rodriguez, who has five goals and four assists in the league this season, last played in Everton's 2-0 Merseyside derby win over Liverpool on Feb. 20.
Everton's planning application for a new 52,888-capacity stadium was unanimously approved by Liverpool City Council on Tuesday.
Everton have not yet received a clarification from the Premier League fully explaining the reasons why Monday’s match against Manchester City was called off.
Ancelotti praised the player but he affirmed that he Is not thinking about the transfer market in this period.
After gaining 12 points from the first four games of the season, Everton drew with Liverpool and lost two matches against Southampton and Newcastle United.
Rodriguez will return to the squad for Saturday’s Premier League home game against Manchester United.
Ancelotti said goalkeeper Jordan Pickford is unaffected by the intense criticism he has faced following a tackle on Liverpool defender Virgil van Dijk.
Ancelotti said Pickford’s challenge on Virgil van Dijk was mistimed rather than malicious and that reaction to the incident was over the top.
Tough COVID-19 restrictions have cast a pre-winter gloom across Merseyside but at least Everton supporters have something to lift their spirits.