The Bees won 2-0 at Dean Court on Tuesday night thanks to goals from Fabio Carvalho and Igor Thiago.
Afterwards, Andrews said: "We knew it'd be a tough test for obvious reasons, it was probably as tough of a draw that we could've got away from home against a very good Premier League team.
"I wanted to utilise the squad this week because they deserve it. It doesn't really surprise me to be honest, it's what I fully expected; a performance to make me think about things going into the game against Sunderland. There were some outstanding performances.
"Playing three 90-minute games in the space of a week was always going to be difficult for everybody to do so early in the season, and I think you could see the commitment levels and the togetherness of the group was there in abundance.
"It's a carry on from the other day (against Aston Villa) in terms of that solidity and that selfless nature of how we played the game."