Dundee United’s hopes of progressing from the Scottish League Cup group stage are in the balance after they were stunned by third-tier Montrose.

Jim Goodwin’s top-flight side, who needed a stoppage-time penalty to beat Stirling Albion on Saturday, were undone by a first-half goal from Graham Webster at Links Park.

Fellow Premiership club Falkirk were also on the receiving end of a shock result as Kevin Holt earned second-tier Ayr United a victory away to John McGlynn’s men.

McGlynn’s team, who missed a penalty, started their group campaign with a 5-0 win at Edinburgh City last weekend but now sit second behind Ayr in Group G.

Meanwhile, there were victories for Stephen Robinson’s new-look Aberdeen, Dundee and St Johnstone, but Kilmarnock were held by Raith Rovers before claiming a bonus point from a penalty shootout.

It was a Kevin Nisbet penalty that put Robinson’s Aberdeen side, which included seven debutants, ahead at Brora Rangers, with the former Hibernian striker adding a second after the break.

Elsewhere in Group A, goals from Aidan Connolly and Jack Hamilton made it two wins from two for Queen’s Park at Kelty Hearts.

Dundee hit five at lower-league Annan Athletic to maintain their winning start.

After a goalless first half, a Charlie Reilly double was followed by goals from Joe Bevan, Simon Murray and Ashley Hay.

Steven Pressley’s men sit top of their section. Kyle Connell’s goal helped Clyde edge out Airdrieonians in the other Group D fixture.

Kilmarnock, playing at Beechwood Park in Auchinleck while their Rugby Park surface is being re-laid with grass, started with no new faces and played out a goalless stalemate with Championship side Raith Rovers.

However, they claimed a bonus point by winning the subsequent penalty shootout. Peterhead came from behind to defeat Elgin City 3-1 in Group H’s other Tuesday fixture.

St Johnstone did the damage in the first half against Linlithgow Rose, with goals from Kai Fotheringham and Ruari Paton downing the Lowland League outfit.

Elsewhere in Group F, Greenock Morton’s miserable start continued as they were defeated 2-0 at East Fife, having already been beaten at home by Linlithgow on Saturday.

Partick Thistle maintained their encouraging start with another emphatic win as a three-goal blitz sent the Championship side into a commanding lead at Forfar Athletic.

Seb Drozd, Alex Samuel and Dan O’Reilly were the scorers before Tsoanelo Letsosa added a late fourth.

Livingston also won in Group E, securing a 2-0 away victory over Brechin City.

Fellow second-tier side Dunfermline responded to their sobering defeat at East Kilbride – who were beaten in a five-goal thriller by Cove Rangers – by thumping East Fife 4-1.

Stirling Albion fought back from an early Spartans goal by scoring three times to move top of Group B, with Dundee United in fourth.

And Edinburgh City bounced back from their heavy loss to Falkirk by beating Alloa Athletic in Group G.