The Catalans required extra time to overcome the Segunda B side, with Ousmane Dembele and Martin Braithwaite eventually securing a 2-0 win.
Cornella goalkeeper Ramon Juan had otherwise kept Barca at bay, making seven saves including two from the spot to deny Miralem Pjanic in the first half and Dembele in the second.
"We missed two penalties and you have to have more responsibility in these types of games.
"Again, 120 minutes, it's an important topic because we've had three games [like that] and that's on us. We created chances and two penalties... that cannot be.
"I can't complain about the effort but it's not only running, but also creating and being effective. It was really tough today. It cannot be and it can't be accepted.