It's yet another superb victory for Barnsley who despite losing red-carded Zeki Fryers, proved too good for hosts Stanley here!
Reds Head Coach, Daniel Stendel had made just the one, enforced change from last weekend's FA Cup tie with Notts County with Jordan Smith starting in goal having joined in midweek on an emergency one-week loan deal from Nottingham Forest.
The new stopper had to be alert very early on in denying ex-Red Jordan Clark, tipping over a stinging effort from range and secondly to get down low to turn away a Sean McConville shot.
A bright response from Barnsley saw Brad Potts scamper away down the right flank, he slipped Dimitri Cavaré in, inside the box but the full back's shot was saved well low down by Stanley 'keeper Connor Ripley.
There were three Reds players booked in the first half by referee John Busby. Alex Mowatt for a lunging tackle in midfield; Liam Lindsay penalised for upending Clark and Zeki Fryers was cautioned for holding Offrande Zanzala.
But the undeterred Reds soon took a grip of the fixture and grabbed the lead.
Cavaré's run wide right, he found Moore ahead of him and a clever first-time backheel saw Cauley Woodrow in, and the striker finished cool as you like from six yards out.
Moore fizzed a half-volley wide on 44 minutes before a Thiam cross was headed goalwards by McGeehan and blocked by a Stanley hand but the ref waved the appeals for a penalty away and blew for half time.
HALF TIME: Accrington 0-1 Barnsley
The second half saw Thiam twice try his luck from range, but the first effort was saved well by Ripley, the second effort was bent just over the crossbar.
Just before the hour mark Barnsley had to thank loan-keeper Smith once more as he had to claw a cross off his goal-line.
A bizarre turn of events on 64 minutes as Fryers was given a second booking and thus dismissed. The referee took an age to make the decision, but it meant Barnsley had the best part of 30 minutes to see out, a man down.
Dani Pinillos and Jacob Brown replaced Cauley Woodrow and Mama Thiam respectively as Stendel looked to inject fresh impetus following the dismissal.
And the Reds remained the better side despite the events conspiring against them.
Alex Mowatt was replaced by Mike Bähre as we approached the last few minutes.
Come the six minutes of injury time, Barnsley killed the match.
Potts went scurrying down the left and into the box but his shot was saved by Ripley, only to bounce onto the goal-line for Moore to force home for 2-0.
So a third successive league victory, third successive clean sheet for Stendel's Reds!
FULL TIME: Accrington 0-2 Barnsley
J.Smith, Cavaré, Pinnock, Lindsay, Fryers, Mowatt (Bähre), Potts, McGeehan, Thiam (Brown), Moore, Woodrow (Pinillos).
Att: 4,801 (2,352 Reds)