Siddons went to see match referee Jeff Crowe to express his frustration after spinner Abdur Razzak was denied an lbw appeal against England’s Matt Prior during the third day’s play.
The Australian coach later criticised the umpires publicly for denying Bangladesh at least three confident appeals on the third day.
“Jamie became increasingly frustrated and let his emotions out during the second session of day three which was obvious for all to see,” Crowe said in a statement on Tuesday.
“Clearly he behaved inappropriately and he agrees that such actions and gestures must be kept behind closed doors. He is disappointed with himself that he was so public and he did not hesitate in pleading guilty and accepting the proposed sanction,” Crowe added.
Bangladesh ended the fourth day on 172 for six in their second innings, 95 runs ahead of the touring side.