The 26-year-old Kyogo Furuhashi was leading the Japanese league in scoring with 14 goals in 20 games this season.
Eduoard spent last season on loan with Celtic, scoring 11 goals in 29 appearances as Celtic secured a second successive domestic treble.
The midfielder, 32, won 55 caps for his country across two spells after reversing an initial decision to retire in August 2016.
Rodgers says his players showed they have the mentality to handle the big games as they registered a 3-0 win over Aberdeen.
Moussa Dembele scored a double as he helped Celtic move three points clear at the top of the Scottish Premiership.
Embattled Rangers manager Pedro Caixinha lashed his players on Monday accusing them of being an embarrassment.
Thomas Mueller put the hosts ahead after 17 minutes before goals by Joshua Kimmich and Mats Hummels sealed the victory.
Jupp Heynckes enjoyed a successful Champions League return as Bayern Munich registered a 3-0 home win against Celtic.
Jupp Heynckes steered Bayern Munich to the Champions League title four years ago by beating Borussia Dortmund at Wembley.
Simunovic tore his hamstring in September and although he returned to training, a reaction to the injury has ruled him out.
Defending champs Celtic retained top spot in the Scottish Premiership on Saturday with a 1-0 win against Dundee.
Rodgers's Celtic revolution has seen a stunning turnaround in the fortunes of the Parkhead club since Deila left.
European football's governing body UEFA has opened disciplinary proceedings against Celtic following a pitch invasion.
The Group B match at Celtic Park was one-sided and PSG led 3-0 at halftime with goals from Neymar, France forward Kylian Mbappe and Uruguay striker Edinson Cavani.
PSG will be hoping that their lavish close-season spending can help achieve their dream of lifting the European Cup.