Lennon's side have also reached the Co-operative Insurance Cup final, where they will also face Rangers.
BBC: Neil Lennon relaxed about summer Celtic contract talks
2.
The Scottish Football League-run competition is being sponsored by the Scottish Government after Co-operative Insurance ended its 12-year involvement.
BBC: Draw pairs Dunfermline with Annan
3.
So David Platt's men suffered another major disappointment a week after losing the Co-operative Insurance Cup final in a penalty shoot-out against Glentoran.