Cherries goalkeeping coach Neil Moss labelled Umbro's Neo Pro FA Cup ball as a 'nightmare for goalkeepers'.
Moss also accused the FA of ruining the competition by using the ball, while manager Lee Bradbury added they were 'almost unfair on the 'keepers'.
The ball caused problems for both goalkeepers in the Cherries 3-3 draw at the Seward Stadium, with both Darryl Flahavan and Paulo Gazzaniga making mistakes which cost their sides goals.
The ball, which offers "a smoother, more accurate shot" according to its manufacturers, was used up and down the country in all of the FA Cup first round fixtures, which saw 115 goals scored in 38 games.
The Cherries train and play with Mitre Tenslie balls in npower League 1 matches and were supplied with eight Neo Pros in the build up to the visit of the Gills on Saturday.
Moss said, "I think it's getting beyond a joke now. I think they take the skill out of scoring. The days are gone where forwards needed to get their foot round the ball and bend it into the corners, because they can put their foot through the ball and it moves so much that shots that would be bread and butter turn into a nightmare.
"The FA want more goals and they will probably get them, but I'm a believer in that strikers should earn the right to score a goal. They should have to do some skill to bamboozle the 'keeper, and we saw that wasn't the case today. It's a just case of getting your head down, smash it as hard as you can and there's a half a chance it will fly in.
"I would just like us to use a ball we use everyday. I don't understand why we've got to change, but someone, somewhere is making a great deal of money out of it and good luck to them, but as goalkeepers and goalkeeper coaches they give us a headache that's for sure.
"We trained with them on Thursday and Friday, and only had eight of them. The Mitre ball moves around but we train with it everyday, so we can get used to it but this ball is in a different league. The powers of football managed to ruin a World Cup with the ball they introduced and they seem to have done that here with the FA Cup for me."
Cherries boss Bradbury agreed that the ball had contributed to the six-goal thriller and that its unpredictability was demonstrated by Gillingham's opening goal. Gill's midfielder Jack Payne scored a spectacular effort from 30 yards, which dipped late to deceive Flahavan.
Bradbury said, "I've looked at the first goal and it was going three or four yards over the bar. He was only three yards off his line, it's not as if he was out of position.
"I think they've (the FA) done it to make the competition more exciting and to see good goals. It's so unpredictable in the way it moves that it's almost unfair on the 'keepers.
"If you hit with a bit of slice it moves all over the place and dips, but it's the same for everyone. When I watch the highlights I'm sure we won't be the only team who had a problem."
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