The Jambos couldn't take advantage in the attacking third as the Light Blues ran out 2-0 winners.
Hearts boss Steven Naismith admitted his young side lacked the maturity to see off Rangers at Hampden.
“I thought we controlled the ball a lot better and created opportunities. And then I think what you see is our immaturity in the final third. We had four or five really good situations and we either picked the wrong option or we overhit a pass and in those moments we must hit the target or make the goalie make a save or score a goal.
“But the more you do something the more you learn and the better decisions you make. That is what we have to hope will happen and I really believe that.
Scottish Cup Cyriel Dessers Celtic FC Rangers FC Scottish Premiership
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