"It is a great result, to win 4-1 away in the Champions League. We are very happy," Sevilla coach Manuel Jimenez told reporters.
"It was only in the second half when our we scored our first goal that it kind of changed things and opened up the game."
Sevilla took the lead with a cleverly worked free-kick on 51 minutes as Lolo shaped up to shoot from almost 40 metres on the left, then switched the ball crossfield to the unmarked Jesus Navas and his teasing cross was met by Abdoulay Konko who headed home.
Brazilian Adriano then swept in an easy second goal from 10 metres after a low cross by Luis Fabiano fractured Rangers defence on 64 minutes.
Fabiano headed home Frederic Kanoute's cross to make it 3-0 on 72 minutes and just three minutes later Kanoute tapped in the fourth as Sevilla made it two wins from two. Rangers grabbed a late goal from substitute Nacho Novo but only have one point from two encounters.
Rangers felt they should have been awarded a first-half penalty when Konko tripped Steve Naismith from behind as he prepared to shoot.
"You cannot say it was a turning point over all, but, certainly, when we play against teams of a level that Sevilla are at... then we need a set of circumstances to go for us. It was a vital decision for us in that first period," said Rangers manager Walter Smith.
"The referee has two decisions to make, one whether it's a penalty which it clearly was and the other is they have to send the player off and that makes it awkward for referees. I think he opted out of what was a very clear decision and at Champions League level you would expect better."
