Matt Parr hit out at his Fareham players after they were dumped out of the FA Vase by Bitton.
The Western League outfit cruised to a 3-0 triumph at Cams Alders.
Parr reckons his side, who had Lee Tigwell sent off, fell way short of what is expected of them.
And warned them they cannot take their places in the team for granted.
‘I wasn’t happy about our performance,’ said the Fareham boss.
‘It lacked what this club is all about and they all know how they stand with regard to keeping their places in the side.
‘To say I am disappointed would be an understatement.
‘Not once did we create anything worthwhile or even manage to test their keeper.
‘As for the sending off, I refuse to condone the recklessness of Lee Tigwell’s challenge on their player just after we had fallen a goal behind.
‘But that’s football. The important thing now is to get ourselves sorted out and prepare for what’s left of the season in terms of finishing in the top half dozen or so in the league.’
Luke Bryan fired Bitton ahead on 44 minutes.
And before the half-time whistle, things went from bad to worse for Parr’s side as Tigwell was shown a red card for an X-rated challenge on Mason Evans.
Bryan missed a one-on-one early in the second half.
He then saw team-mate Matt Barnes sent off for a second bookable offence before hammering home his second goal.
Bitton made certain of their £1,200 prize money when Dan Spill chested home the third.
Elsewhere, AFC Portchester came from behind to beat Western League Shepton Mallet 3-1 at Wicor Rec.
Simon Woods sealed their passage into the third round after man-of-the-match Jack Salter-Vaile and Danny Thompson had put the hosts in front.
‘The whole club is buzzing and we had over 200 through the gate,’ said first-team coach Louis Bell.
‘It was a very pleasing team performance against a side that arrived here on a 10-game unbeaten run.’
Two Steve Hutchings goals helped Moneyfields to a terrific 3-2 win at Odd Down, also of the Western League.
‘It was probably our best performance of the season,’ said boss Miles Rutherford.
‘We did so well to knock out a very good team and I couldn’t be happier for the club and players.’
Odd Down cancelled out Hutchings’ 20th-minute opener – and also Stuart Green’s 55th-minute strike.
But they had no answer when Hutchings struck the decisive blow from a corner on 80 minutes.