Ross County have a 100% record in Group A after beating Championship rivals Dundee United 1-0 in Dingwall while Alloa Athletic got their campaign under way with a 4-2 home win over Arbroath.
Montrose are the Group B pacesetters following a 1-0 victory over East Fife at Links Park, with Falkirk beating Forfar Athletic 2-0 in the other game.
Inverness CT lead Group C after thumping Cowdenbeath 5-2 at Central Park, with Cove Rangers at home to Hearts on Wednesday evening.
Brechin City head Group D following their first win since November - 2-1 at Stirling Albion - while Dunfermline Athletic's opening fixture saw them beat Peterhead 3-0 at East End Park.
Partick Thistle are looking good in Group E after beating Morton 2-1 at Firhill and Stenhousemuir saw off Albion Rovers 4-0 at Ochilview.
League 2 Annan Athletic have made a perfect start in Group F and followed up Saturday's win over Hamilton Accies by dismissing Berwick Rangers 4-0 at Galabank. Livingston are in second spot after winning on penalties at New Douglas Park after it finished 0-0 against Hamilton.
Stephen Dobbie scored all three as Queen of the South beat Clyde 3-0 at Palmerston to top Group G and Elliott Frear also bagged a treble as Motherwell hammered Edinburgh City 5-0 at Fir Park, with all the goals coming in the first half.
Dumbarton are the Group H leaders following their 1-0 home victory against Queen's Park. St Mirren were held to a 2-2 draw by Spartans in Paisley but picked up the bonus point for winning the penalty shoot-out.