Chelsea, with Juan Mata making a start, picked up a routine win, as Tottenham thumped Aston Villa in the third round of the Capital One Cup on Tuesday night.
Manchester City also got some revenge on Wigan with a 5-0 thrashing, while Sunderland began life without Paolo Di Canio with a regulation 2-0 win over Peterborough.
Southampton, West Ham, Fulham, Hull City, Norwich, Barnsley and Leicester also progressed into the next round after victories in their respective matches.
Jose Mourinho gave a chance to some of his fringe players, while Mata and David Luiz, who was not even part of the squad in last weekend's West London Derby against Fulham in the English Premier League, were given their time to shine right from the start.
Mata set up Fernando Torres for the opening goal, before Ramires doubled the lead in the first half, after coming on for the injured Marco Van Ginkel, who seemed to pick up a serious-looking knee injury.
Ramires would then not come on in the second half after picking up a hip problem.
Manchester City continued their penchant for destroying teams with a 5-0 mauling of Wigan, who beat them so famously in the F.A. Cup final last season.
Edin Dzeko opened the scoring for City, before a brace from Stevan Jovetic and a goal apiece from Yaya Toure and Jesus Navas sent Manuel Pellegrini's side on their way to the fourth round.
The post-Di Canio era began on a sound note with caretaker manager Kevin Ball leading his side to a 2-0 win thanks to goals from Emanuele Giaccherini and Valentin Roberge.
Ball said, after the win, he would like to carry on as manager of Sunderland, despite the likes of Roberto Di Matteo, Gus Poyet and Tony Pulis linked with the job.
"Anybody who is anybody would like to be considered for it," Ball said on the managerial vacancy. "In the sense of what I have done as a coach or a player and not only that, my qualifications I have gone out and got as a coach, I would like to be considered.
"But ultimately, that's the club's decision and I would go with that, whether it was me or someone else, they would have my full support."
Paulinho scored in his second consecutive game as Tottenham romped to a 4-0 win over Aston Villa. Jermain Defoe grabbed a brace for himself with Nacer Chadli also getting in on the scoresheet.
In another all-Premier League clash, Fulham picked up a come-from-behind 2-1 win over Everton, with Darren Bent scoring the winner after coming on from the bench. Dimitar Berbatov had earlier cancelled out Steven Naismith's first half strike.
Results: Burnley 2-1 Nottingham Forest; Fulham 2-1 Everton; Hull City 1-0 Huddersfield; Leicester City 2-1 Derby County; Manchester City 5-0 Wigan; Southampton 2-0 Bristol City; Sunderland 2-0 Peterborough; Swindon 0-2 Chelsea; Aston Villa 0-4 Tottenham; Watford 2-3 Norwich; West Ham 3-2 Cardiff.