Rosler's first game in charge of the Latics ended in disappointment as a 2-1 defeat by Maribor in Slovenia brought their first European campaign to a close.
Zeljko Filipovic grabbed the winner in the 59th minute with a superb strike into the top corner to ensure it was Maribor and not Wigan who progressed to the last 32.
Both teams knew victory would be enough for them as long as Group D winners Rubin Kazan beat Zulte-Waregem, and the Russians secured a 2-0 victory.
Rosler, who left Brentford to succeed Owen Coyle on Saturday, struggled to contain his frustration as he gave his thoughts on the penalty and sending-off.
The German said: "It was a deflected ball that led to a penalty, which could be discussed, but even worse was it leading to a sending-off.
"He shot from a very close distance onto his thigh and from his thigh the ball bounced onto his arm. First of all, it's not a penalty for me, and second of all, never a sending-off.
"I think the referee didn't have his best day, he influenced the game in a massive way. He looked to me very inexperienced, he made a lot of errors.
"I can only say I'm very proud of my players, not only with the way they played but they never gave up. We attacked more and in the last minutes it was one-way traffic.
"I think everybody in the stadium would agree that we were the far better team. With no sending-off, we would have won the game."
Marciniak laid out his stall early with bookings for Roger Espinoza and McCann, but Rosler added: "I didn't have a good feeling, and not when the referee gave the two yellow cards but when the game started.
"My players deserved better, that's all I can say about the referee."
It was a sixth consecutive defeat in all competitions for Wigan, who must pick themselves up for a derby clash with Bolton in the Championship on Sunday.
Rosler's desire to return to something like the passing football of Coyle's predecessor Roberto Martinez was evident from the opening moments, and the former Manchester City striker had nothing but praise for his players.
He said: "(The sending-off) wasn't a turning point in terms of performance because we controlled the game after that as well.
"I'm very happy with the way we performed. I think my team did exactly what we wanted them to do and totally dominated the game. I couldn't see them scoring goals.
"We didn't pass the ball in our own half most of the time, we passed the ball in the opposition half. We made them run, they got tired.
"In the second half, 11 against 11, we would have created more and more chances."
- Sports & Recreation
- Chris McCann