Bryan Mbeumo's brace secured victory at the Strawberry Arena, with Harry Maguire handed the captaincy for the day and given the honour of lifting the trophy afterwards.
Speaking to MUTV, Carrick reflected on a display he felt built on the momentum from Manchester United's win over Rosenborg the previous week, with the club now seven months into his tenure since taking charge in January.
"I enjoyed it, I thought there was a lot of good in things that we are looking to improve on," said Carrick.
"Building on what we did for the last seven months, I think there is a lot of good signs for us, it's never going to be the exact stage we want to be at.
"But I thought there was really a lot of positives to take out of the game, individual, collectively as a team, senior players looking strong and fit, and the younger players doing really well."
He was particularly pleased with the mood inside the squad.
"The spirit and the camaraderie is so important for the team, it's great to see the boys getting on so naturally and enjoying each other's company. Collectively we looked strong as a team, which is always the most important thing, and individual performances seeing the young players come on to have an impact," he added, before pointing to United's clean bill of health as a significant plus point so early in pre-season.
"No injuries is a massive part of it, it is always getting the balance of how much do we push the players and how much do we save, and the boys are in a good place. It's part of learning and it's part of developing, as much as we are trying to get ready for this season to start, it is a long season and we are going to have to overcome some challenges, adapt at certain times and trying to put things in place that will take us the full distance."
Carrick also spoke warmly about the dynamic within his squad following an unusually long summer break.
"It is such a great group to work with, in terms of the spirit to work with each other, for us to help them and guide them, and that is what really made today really pleasing because it's kind of a lot of things we have been asking them to do. We had six-and-a-half weeks away from the players, so it's a long time to compared to what I am used to, we are enjoying work and I am looking forward to the season, this is something to build on to this group, with different layers as we continue to push."