 Stacey Lynn, CBS News. Starbucks brewing up a new type of compostable coffee cup. Reporter Matt Bigler says the switch is part of a larger effort to move away from plastic containers. At this Starbucks east of San Francisco, the plastic dome lids that usually top cold beverages are now white. This customer was happy to see the new compostable cups. I think that's a great idea. It's better for the buyer mate.