The Tykes fell to a narrow defeat as Huddersfield Town won 1-0 thanks to a first half goal from Duane Holmes.
If Barnsley had progressed to the fifth round then they would have faced Nottingham Forest – who have overcome both Arsenal and Leicester City so far.
The Yorkshire club now face a trip down south as they take on Luton Town in the Championship this evening.
Here are the best of today’s transfer rumours...
The Yorkshire club now face a trip down south as they take on Luton Town in the Championship this evening.