The Championship clash was called off a couple of hours before kick-off on Saturday due to a waterlogged pitch.
A club statement said: "Charlton Athletic would like to apologise to all supporters who made the journey to The Valley on Saturday afternoon to find the game had been postponed after a 1pm pitch inspection.
"The club was confident that the suitable precautions had been taken at the start of the week and that it would go ahead.
"The ground staff did not deem it necessary to call in a match official to conduct a preliminary pitch inspection on the Friday prior to the game against the Tykes, as they were confident the surface was in a better condition than at a comparative stage before the recent matches against Brighton & Hove Albion and Sheffield Wednesday."
The Addicks are holding a pitch inspection on Monday afternoon ahead of Tuesday night's rearranged FA Cup game with Oxford, but are "expecting the tie to go ahead as planned".