The sides battled to a 9-all draw in France last weekend, but the former Leicester Tigers guru coached his team to a crucial one-point victory after they trailed 9-11 at halftime.
Centres Rickus Lubbe and Jason Tiatia scored the crucial tries to out-point the Tykes, who depended on the boot of Scotland fly-half Gordon Ross for 12 of their 17 points.
In London, Saracens waltzed into the second round with an impressive victory over French club Bayonne at Vicarage Road.
Holding a three-point lead after last weekend's first leg, Saracens bagged a 15-0 lead early in the match and never relinquished it, eventually recording a 36-10 win.
Winger Richard Haughton grabbed the first try, but it took a yellow card to veteran Scotland centre James McLaren before the home side took control of the match. Centre Ben Johnston scored after a clever break from Robbie Kydd and Saracens took a 15-0 lead into the break.
Haughton switched to fullback in the second half and added his second five-pointer, and despite a yellow card to centre Dan Harris, the talented utility back completed his hat-trick in the 70th minute with a superb individual try.
Hard-working Bayonne lock Mikaera Tewhata scored a consolation try in the final minutes, but it was far too late to affect the result, and winger Tevita Vaikona bagged his first try for Saracens to give his side a 26-point win.
Scottish side Borders cruised past the century mark as they gave Spanish side AA Coimbra a harsh welcome to European rugby.
Coimbrafell 3-98 last weekend, and suffered a 107-3 reverse at Netherdale last night as the home side ran in 17 tries. Fullback Gareth Morton, fly-half Charlie Hore and replacement winger Stuart Moffat all scored hat-tricks of tries in one of the most one-sided matches in European rugby history.
Meanwhile, hooker Olivier Diomande scored a first-half hat-trick of tries as Montpellier romped home 59-3 over Rugby Rovigo to qualify easily for the second round.
The French club ran in four tries in the opening half and five in the second 40 as they out-classed the battling Italian club, whose only points came from the boot of fly-half Ettore Boarato in the dying seconds of the first half.