It is very important that roofing felt cannot simply be disposed of in household waste. So never simply throw it in your own dustbin, because roofing felt is considered hazardous waste and must therefore be taken to a recycling centre. In some places you can also collect it in a container.
When disposing of it, costs may be incurred. These vary greatly depending on the recycling centre. If you want to dispose of roofing felt with tar or asbestos, this will definitely cost significantly more than unpolluted material. For more information on the costs of disposal, you should enquire online or directly at your recycling centre.