Constant track limits abuse by drivers in Turns 9 and 10 of the Red Bull Ring flooded the FIA stewards with incidents to review.
On Sunday afternoon the FIA had to look at over 1,200 potential transgressions to determine if drivers deserved to be penalised.
That manual process took over four hours after the race and resulted in a revised classification, with Carlos Sainz, Lewis Hamilton and Pierre Gasly among the drivers demoted long after the race had finished.
While the farcical outcome prompted talk over how the Spielberg circuit's track design can be improved to avoid a repeat, Brown also feels F1 could do a better job of reacting to developing problems over a race weekend.
During Friday's qualifying, a total of 47 laps were deleted for exceeding track limits, meaning that there was a clear warning that the issue could also affect the race and that a pragmatic, temporary solution could be found to tweak the way track limits were going to be policed.
"I think where we need to do a better job is, we knew this was going to be a problem on Friday," Brown said.
"So Spa [2021, which was called off after three safety car laps due to heavy rain], we knew Spa was potentially going to be a problem on Sunday, on Friday. And we just kind of watched it unfold.
Source: Autosport