Spurs, already guaranteed their progress to the next round of the competition as Group K winners thanks to Anzhi Makhachkala's 1-1 draw with Sheriff Tiraspol, took all three points through an Adnan Causevic own goal and Mousa Dembele's strike.
It had looked as though the Norwegian side would hold out to frustrate Villas-Boas's men with some stubborn defending but the Portuguese was happy with the visitors' determination and persistence.
|5/1||Tottenham are 5/1 with William Hill to win the Europa League|
The north Londoners went into game following back-to-back Premier League defeats, the last of which was a 6-0 hammering at Manchester City, and Villas-Boas was delighted to return to winning ways ahead of Manchester United's visit to White Hart Lane on Sunday.
"We played well down the flanks, moved the ball well in midfield and created lots of good situations," he continued.
"I'm happy for the team and happy we bounced back in preparation for the match against United.
"It was important for us to get back to winning ways. We said that before the game when we were in London. We knew about the conditions, the snow and the artificial pitch and the players did well to get the result."