The League Two side pulled off the shock of the Carabao Cup so far by dumping out Premier League club Fulham with a 2-0 victory.
However, a pitch invasion from home supporters at Broadfield Stadium has quickly become the main talking point.
The EFL released a statement condemning the fans' behaviour, insisting there was 'no justification', while the FA has confirmed an investigation.
English football is cracking down on pitch invasions following a number of unsavoury incidents earlier this year, including a headbutt on Sheffield United striker Billy Sharp at Nottingham Forest.
A video has emerged of Crawley owner Orrell joining Reds fans on the pitch, leaving ex-Crystal Palace chairman Jordan bewildered.
Jordan told talkSPORT: "It beggars belief. They've been told. There's a bloody owner going on the pitch.
"The EFL must be in their office going, 'What's wrong with you? Did you not read the edict?'
"We don't want fans on pitches. We want to maintain the level of decorum in football stadiums.
"An owner goes on the pitch, and worse than that, he takes pictures of his gormless self and puts it on social media!
"The people that are supposed to be in authority, with the responsibility to be custodians of a football club, to tell other people how to behave - they are the ones on the pitch.
"It is so absurd and ridiculously unnecessary. Whether we like it or not, the game has said, 'No fans on the pitch'. That is where the discussion ends."
Jordan insists that fans who invade the pitch are shooting themselves in the foot - and ultimately supporters will foot the bill for increased security.
He added: "Clubs are going to be forced to police these grounds even better, that will increase costs for these clubs.
"Clubs at the bottom end of the division can't afford those things. Fans will wonder why their ticket prices have gone up and they're not buying players.
"It's because your stupid mate ran on the pitch and now we have mandatory policing levels and mandatory stewarding levels!
"Why can't you celebrate with your mates in the stands? Why have you got to go and run on the pitch?"