Falkirk looked to be missing the injured influential trio Dean Holden, Scott Arfield and Jackie McNamara.
Scott Arfield tested Ruddy with a powerful drive, but the on-loan Everton keeper was up to the task.
But with five minutes remaining Scott Arfield converted a penalty kick to steal a priceless point for Falkirk.
Scott Arfield sent a shot from distance over the bar in the last attempt of the first half.
Lovell's close-range effort put Falkirk ahead before half-time before Scott Arfield's mazy run and shot and O'Brien's screamer.
McCarthy came close again in the second half before Falkirk's Scott Arfield saw his last-minute shot blocked by goalkeeper Tomas Cerny.
Scott Arfield could have put the match beyond the hosts in injury time, but blasted the ball over the bar.
Falkirk's Scott Arfield dragged a shot wide from the edge of the penalty area with the first chance of the game.
Steve Lovell, a Scott Arfield double and Burton O'Brien's goals secured the victory, with the visitors' replay coming from debuant Trent McLenahan.
The hosts started brightly but were caught out in the third minute by Scott Arfield's 18-yard shot, which he fired straight at Paul Gallacher.
The home side failed to clear their lines from a free-kick and Scott Arfield teed up Holden to fire into the top corner from 16 yards.
Richard Foster was booked for a foul on Showunmi wide on the left and Scott Arfield's cross found Barr to nod home at the far post.
Falkirk midfielder Scott Arfield tried to place the spot kick low to Trevor Carson's right but the keeper made a fine parry and the ball was cleared.
The home side's first real chance came in the 17th minute when Rangers failed to clear Kevin McBride's dangerous cross and Scott Arfield found Michael Higdon, who fired over.
However, Scott Arfield was still able to find McLean in the clear only for the big defender to panic and send an aimless pass into the six-yard box instead of shooting.
Falkirk midfielder Scott Arfield spoke prior to the game of adding more goals to his game and after a quiet display grabbed a superb second of the season in the 69th minute.
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