The Dons will now face Queen of the South in the last four.
And Calderwood knows his side will need another good performance against the First Division side as he aims to atone for a poor showing against Dundee United in the semi-finals of the CIS Insurance Cup.
"We didn't show up in the CIS Cup semi-final and we got what we deserved, which was nothing," he added.
"I'm sure Queen of the South would rather be facing us than Celtic
"But if the right Aberdeen turns up then we have a good chance."
Goal hero Mackie has been hampered by injuries this season but he was on hand to tuck away his first domestic goal of the campaign.
"Coming to Celtic Park is always difficult," said the striker.
"We were down after the first game but we fought well and we're through.
"The game just seemed to go on and on but the boys put in a great shift."
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