Onyedinma was sent off just minutes after putting Rotherham two up early in the second half and the decision to award two yellow cards in as many minutes from referee Bobby Madley angered the home crowd and baffled Taylor.
The decision turned the tide of the game and left the Millers having to hang on deep into added time.
Sammie Szmodics had an eventful game as he missed a first-half penalty and was at fault for Rotherham's opener, scored by Hakeem Odofin, before his second half double secured a point.
Taylor said: "The first yellow is my biggest frustration. We go 2-0 up, it's Fred's first goal and there is emotion. He gets pushed into the crowd by his teammates celebrating.
"Football is going in a strange direction. I know they are trying to make it a better product, but I would argue that it isn't right now.
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END OF CUP ROAD FOR EFL BATTLERS
EFL interest in this seasonâs Carabao Cup came to an end in midweek, but it certainly wasnât for the want of trying.
GOALS GALORE IN THE TROPHY
THE goals flew in from all angles as the Bristol Street Motors Trophy revved into action again in midweek.
KEEPER GAFFE SINKS TOWN
HUDDERSFIELD boss Michael Duff questioned his playersâ mentality after goalkeeper Chris Maxwellâs bloomer handed NonLeague Tamworth a shock win.
ACE SLEW & WILLIAMS SEE OFF REBELS...
DECISIVE goals at either end of the game from Jordan Slew and Rhys Williams helped League Two Morecambe avoid a potential banana skin against National League South outfit Worthing.
MATT'S MEN JUST HAVE ENOUGH GAS
HONEST Bristol Rovers boss Matt Taylor has acknowledged his side were pushed all the way in their tie against Weston-super-Mare.
'WHITES' ARRAY OF FIREPOWER WILL GIVE THEM THE EDGE OVER RIVALS'
GARY Rowett says Leedsâ glittering arsenal of attacking stars will bring the Championship title to Elland Road.
POMPEY'S GAME OF TWO HALVES
Murphy's in to deny the Tigers
SET-PLAY PREP PAYING OFF FOR PELACH
NARCIS Pelach admitted Stoke have been working tirelessly on set-pieces since his arrival â and he was pleased the hard work paid dividends with the winner against Derby.
Robins lays marker to his Sky Blues
MARK Robins has challenged his Coventry City players to go on a Championship charge after the Sky Blues ended their wait for success on their travels with resounding victory against ten-man Boro.
JUST FAB FOUR BAYO IS UNSTOPPABLE
FOUR second-half goals in an incredible display from Vakoun Bayo powered Watford to a resounding victory at Hillsborough.
