Sheffield Steelers beat Flames 3-2, victory coming at the sixth attempt over Paul Dixon's side.
The Arena side had to come back from 2-0 down, though.
Barrasso said losing to Guildford in earlier games in League and Challenge Cup had become tiresome and players had taken it personally.
He had "not been crazy" about the team's start but said more pressure on their opponents' defence had turned it around.
Saturday 22nd December
Belfast Giants 4 Manchester Storm 0
Cardiff Devils 4 Dundee Stars 2
Fife Flyers 2 Glasgow Clan 3
Nottingham Panthers 6 Milton Keynes Lightning 2
Sheffield Steelers 3 Guildford Flames 2
Sunday 23rd December
Coventry Blaze v Milton Keynes Lightning - 5.15pm
Dundee Stars v Nottingham Panthers - 5.00pm
Glasgow Clan v Sheffield Steelers - 4.00pm
Guildford Flames v Cardiff Devils - 6.00pm