India triumphed by seven wickets over Australia who won the toss, batted first and managed 9-286, with the hosts chasing down the runs with 15 balls to spare in Bangalore.
Rohit Sharma top scored for India with 119, after Steve Smith laid the platform for the visitors with 131.
Smith lacked support, though, with Marnus Labuschagne next best with 54, while Mohammed Shami taking four wickets.
“I thought we were probably a few short,” Finch said. “As we started to build a platform, we lost a wicket. We’d rebuild and then lose another.
“The guys are still learning. That middle order in particular haven’t played a lot of cricket together.
“All in all, there were a lot of positives to come out of the tour. We’ll keep getting better.”
Australia made a surprise move at 3-173 in the 32nd over, with Mitchell Starc elevated to fifth in the batting order.
Finch explained the decision, insisting it was an aggressive move which didn’t work out as Starc was dismissed for a third ball duck.
“We felt as though it was an aggressive move especially against the left-arm spinner,” Finch said.
“He can smack a few if he went out there and hit a couple of sixes. We were hoping it’d change their tactics and they’d have to bring back one of their quicks earlier.
“I believe it was the right thing but didn’t come off today. It was definitely an aggressive move.
“We felt we needed something around the 300-310 mark.”
Finch added he felt Glenn Maxwell was outside the top seven options at the moment but could use the Big Bash League to push his case.
D'Arcy Short and Peter Handscomb were among those not used in India while Maxwell along with Marcus Stoinis and Mitch Marsh have impressed back in Australia in the BBL.
“I think (selection) will be a discussion over the next couple of weeks,” he said.
“We’ve got a few weeks, a few rounds of Big Bash. You discuss all options and combinations. We’ll wait and see.”
“It’s about form. it’s about picking players for the right role.”