Goalkeeper Claudio Bravo saved two of Wolves' penalties to help City win and Guardiola blamed the Mitre ball for his side's inability to score.
"It is not acceptable, the ball was unacceptable for a high-level competition," Guardiola said after the match.
"It is too light, there is no weight, nothing. It is not a good ball. It is impossible to score with a ball like that and I can say that because we won.
"I'm not making excuses. All of my players said, 'what is that?' I'm sorry, Carabao Cup, but that is not a serious ball for a serious competition."
Bravo has been heavily criticised for sloppy performances since joining City in 2016 and Brazilian Ederson has been Guardiola's first-choice keeper this season.
"Without Claudio we would not be in the next round," Guardiola added. "I am so, so happy for him because it has not always been easy. He made a lot of important saves for us."
Striker Sergio Aguero, who captained the side, missed out on the chance to become City's record goalscorer but will have an opportunity again when Guardiola's side travel to West Bromwich Albion in the league on Saturday.
(Reporting by Aditi Prakash in Bengaluru; editing by Sudipto Ganguly)
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