Nuri Sahin’s first goals for the Reds sealed the win, after coming from behind following a lacklustre start.
By Hannah Duncan
But Rodgers, who fielded a young side, believes the victory represented the progress he feels his team has made over the last few weeks.
‘I think it was a symbolic night because it shows how fast we are moving as a group,’ said the Northern Irishman.
‘How we have progressed from our first day of the season here, when we were a wee bit disjointed and players did perhaps not quite understand my methods and what I wanted.
‘But the performance level has been high for a number of weeks. I think it’s always exciting to see young players who have great technique. But what is important as well is that they understand how to fight. It was a wonderful performance against a good team.’
The Baggies raced out of the blocks as Gabriel Tamas fired home after Liverpool goalkeeper Brad Jones’ error in the third minute.
However, on-loan Turkish midfielder Sahin scored his first of the night from 25 yards in the 17th minute. Sahin won the game when he met Oussama Assaidi’s 82nd-minute cross.
Liverpool substitute Jerome Sinclair made history by becoming the youngest player to represent the first team at just 16 years and six days.
‘I gave him my congratulations,’ Rodgers added. ‘He got a nice round of applause afterwards in the changing room as well.
‘It was nice that Jack Robinson was the previous [holder of that record] and he was playing tonight. But now Jerome’s hard work begins. It’s no good being the youngest player and then drifting out of it.
‘But thankfully, he’s a good kid. I’ve worked with him a number of times so far and he’s really focused with good concentration. He wants to learn and once you have that hunger, you can take it a long way.’
Brendan Rodgers will now host former side Swansea in the last 16.