Losing to their arch-rivals in front of a gleeful Edgbaston crowd was a painful way for Australia to surrender the trophy they had won four times in the past five tournaments.
But Finch, who was out for a duck, conceded England had been far superior.
"We were totally outplayed today. We expected the new ball to seam a little but they bowled a great length, hitting the stumps a lot," Finch said.
"We had to have a lot things go right for us. We had to take our chances and bowl them out.
"We tried to take wickets but when you are aggressive with the ball and they are aggressive with the bat, things can happen very quickly."
England openers Jason Roy, who hit 85 from 65 balls, and Jonny Bairstow, who made 34, took the game away from Australia with a superb 124-run partnership for the first wicket.
"They played exceptionally well. We know how dominant they are when they get on top. You've got a very good cricket team in England," Finch said.
Although Australia had beaten England easily in the group stage at Lord's, they were a shadow of the team that eased into the semi-finals with seven wins from nine matches.
For just the second time in the past seven World Cups, Australia have failed to make the final, but Finch said he was proud of his team's efforts 12 months after they were crushed 5-0 by England in a one-day international series.
"We have a lot of positives from the campaign. We've come a long way from when we were in England a year ago," he said.
"We came here thinking we could win the tournament. We've had backs to the wall and character shown and I'm proud of how the group have progressed but it still hurts."