The CD-R and DVD-Rs are made of polycarbonate material and sometimes they even have a tinge of gold or silver sprayed in their reflective layer which would make these CD-Rs and DVD-R highly recyclable. However, as the polycarbonate does not have any resale value and the quantity in which the precious metals are present there, is so small that it does not bring you any profit margin to recover them. So, recyclers though would accept such CD-Rs and DVD-Rs are less likely to offer any compensation for this.
You have to just give them away to the general newspaper recyclers. They would take care of them, but they might not give you anything in return. So, instead of throwing them to the dustbins, you can accumulate and give them off to these people. That's the only way to recycle these items.
Though you don't gain anything, the idea of recycling them would be a great contribution to the environment. So, I suggest to keep up the idea and try your luck as well.