After sweeping all aside in pre-season, the Under-18s found going tougher against the Canaries who came from behind to claim all three points.
David Lowe's young side started the game brightly, taking the lead after just three minutes.
Good work from Sam Joel down the left saw him cross for Dean Rittenberg and he made no mistake from close-range to continue his fine goalscoring form from pre-season.
However two goals in six minutes turned the game on it's head in favour of the home side, with mistakes from throw-ins proving costly.
Rovers were slow to react to a Norwich throw on 20 minutes, Ray Grant finding Carlton Morris who fired home from the edge of the box.
Then a Rovers throw was intercepted and as the ball was crossed Morris swept the ball into the back of the net for his second of the game.
Rovers rallied in the second half, enjoying plenty of possession but they lacked that crucial penetration when it mattered.
"We had a lot of play but to be fair to Norwich they defended really well," said coach David Lowe.
"The lads stuck to their task but ran out of time to make the territorial advantage count.
"We just didn't have enough quality in the final third, we didn't work their goalkeeper enough and our set-plays were quite disappointing."
The Under-18s are back in action at Brockhall this Saturday when they face Middlesbrough - kick-off 12 noon.
ROVERS: Raya, Vicars (c), Scott, Butterwick (sub Wall 80 mins), Lavelle, Wassi, Harris, Torres (sub Tanner 88 mins), Rittenberg, Green, Joel.
Subs not used: Pierce, Williams, Edo.