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I was under the impression GWP (global-warming potential) is the measure of a gas' impact on global warming, in comparison with CO2.
E.g. methane has a GWP of 86 over 20 years - Wikipedia
Comparing paper and ceramic cups for GWP, this article (page 24) shows GWP in kilograms. Does this make sense to show GWP in kg? Can anyone explain why?
Rather than using the GWP as a ratio, they are expressing the GWP as compared to a release of $\ce{CO2}$ with equivalent radiative effects. To use their numbers use the mass they give you and a GWP ratio of 1 for that mass (as if it were carbon dioxide). From what I've seen for chemical industry sales and marketing literature it is fairly common that they express GWP this way in units of "$\ce{CO2}$ equivalent".
In other words, they are saying whatever their product is made of and its production methods have the same radiative forcing as $x$ kg of $\ce{CO2}$.
