Republic of Ireland striker Callum Robinson was among the goals as West Brom eased into round 3 of the Carabao Cup.
Slaven Bilic's side beat League Two Harrogate Town 3-0 at The Hawthorns.
The former Sheffield United and Preston forward tapped home the Baggies' third after some wing wizardry down the left from Kyle Edwards.
West Brom will be at home to Brentford in round 3.
Goals in the final 5-minutes of the first half from Christian Norgaard and Josh DaSilva were enough to give the Championship side a 2-0 win away to Premier League Southampton.
Shane Long and Michael Obafemi were both sprung from the Saints bench in the second half, but to no avail.
Leeds United are also out, beaten 9-8 on penalties by Hull City.
Defender Gjanni Alioski had forced spot-kicks at Elland Road with practically the last kick of the game, after Marcelo Bielsa's side spent 88-minutes trailing the League One side.
Hull's reward is a 3rd round trip to West Ham.
Bristol City set up a 3rd round date with Aston Villa by hammering Northampton Town 4-0 at Ashton Gate.
And Gylfi Sigurdsson scored his 100th goal in English football, as Everton beat Salford City 3-0. Next up for Carlo Ancelotti's side is a trip to Joey Barton's Fleetwood Town.
Carabao Cup 3rd round draw:
Lincoln City v Liverpool
Bristol City v Aston Villa
Chelsea v Barnsley
Fleetwood Town v Everton
Preston North End v Brighton & Hove Albion or Portsmouth
Fulham v Sheffield Wednesday
Leicester City v Arsenal
Leyton Orient v Tottenham Hotspur
Luton Town v Manchester United
Manchester City v Bournemouth
Millwall v Burnley or Sheffield United
Morecambe v Newcastle United
Newport County v Watford
West Bromwich Albion v Brentford
West Ham United v Hull City
Wolverhampton Wanderers or Stoke City v Gillingham