Sod should not be in the leaf and yard waste according to city. It should be in garbage.
The total weight limit of per bag is 15kg.
But I saw my neighbour put that thing in the paper bag, and city colleted them. Since it goes to compost yard, I don't think sod will cause any problem. So you can put it in the paper bag but not over 15kg per bag.
If you have space at backyard, you can build a compost pile with that. Use it as top dressing after it is well rotten.