Seven-time winners Liverpool face a tough trip to The Emirates, where Arsene Wenger's latest batch of talented youngsters are again expected to be on duty.
New Tykes boss Robins, meanwhile, will be hoping his side can replicate their FA Cup run of 2008 when they accounted for two of the 'big four' in the shape of Liverpool and Chelsea.
United visit Oakwell in one of the three matches featuring Coca-Cola Championship sides.
The other two see Peterborough travel to Blackburn and Scunthorpe head to Eastlands to face the riches of Manchester City.
There are four other all Premier League meetings, with Chelsea hosting Bolton, Aston Villa visiting Sunderland, Portsmouth entertaining Stoke and Tottenham at home to Everton.
The full draw for the fourth round of the Carling Cup, ties to be played week
commencing October 26:
Blackburn v Peterborough
Manchester City v Scunthorpe
Tottenham v Everton
Barnsley v Manchester United
Chelsea v Bolton
Sunderland v Aston Villa
Arsenal v Liverpool
Portsmouth v Stoke