Rangers 3-0 Peterhead

James Tavernier set up one and scored another

Rangers eased into the second round of the Scottish League Cup with victory over Peterhead.

It took until shortly before half-time for the Championship side to take the lead, with David Templeton firing in from a low Barrie McKay cross.

The League One visitors rarely threatened, but it was not until the final quarter that Rangers' dominance exerted itself.

Kenny Miller finished a cut back from James Tavernier, who fired the third.

In what was manager Mark Warburton's competitive bow at Ibrox, Rangers continued the scoring form they showed in last week's 6-2 drubbing of promotion rivals Hibernian in the Petrofac Training Cup.

Like that Easter Road display, the Glasgow side took their time building up a rhythm.

The link-up was intricate but not always accurate, while the finishing could have been sharper.

Nicky Law came close with a header after 25 minutes, while former Rangers goalkeeper Graeme Smith denied Lee Wallace.

Templeton put his side ahead as he steered the ball into the corner of the net after being teed up by McKay.

Rangers' Andy Halliday and opposition striker Rory McAlister clashed on the touchline as the game nearer the break, but referee Greg Aitken took no action.

As the home side surged forward in the second half, Ryan Strachan cleared Martyn Waghorn's deflected shot off the line.

The striker and McKay both missed chances to add to the lead and Smith denied Dean Shiels a certain goal with another fine save,

A second goal did arrive when substitute Miller finished off at the back post after Travernier had burst into the box to cross.

Waghorn's curling effort from 20 yards was stopped by the left post and it was Travernier who put a gloss on the scoreline as he thumped past Smith with eight minutes left.

David Templeton (left) opened the scoring