Prof Grant Jarvie, chairman of sport at the University of Edinburgh and chairman of the local authority's leisure, culture and sport trust, told the programme that sport, leisure and culture were disproportionately hit because they were not statutory such as schools, housing and transport.
He said: "The report suggests a 3% reduction in real terms but other reports talk about a 20% cut in local government investment in culture, sport and leisure services and as high as 33% in some local authorities."
He added that local authorities only needed to provide adequate provision and were "forced to make choices they shouldn't have to make".
He said sport brought about £2.5bn to the Scottish economy with even more coming from culture industries.
He also highlighted the community groups that benefit from sport and culture spending, including Street Soccer, the Sistema Scotland music education programme and the Homeless World Cup.
"Local authorities have to make choices, but governments of all colours also make choices and in this case it's the wrong ones," he said.
Overall, £675m was spent on culture and leisure in Scotland in 2023-24 , with £118m raised by charges - a 27% increase since 2018/19.
At the same time, local leaders have approved £9.9m worth of savings in these areas for the current year.