Green public procurement has been criticized for its excessive reliance on detailed technology specifications, which can distort incentives in the short term and discourage innovation in the longer term. Economists therefore tend to prefer technology-neutral procurement, which rewards outcomes rather than technologies. However, technology-neutral procurement can also be problematic in practice. The present study investigated green public procurement of waste management, a rapidly growing field. In one of the most sophisticated models for technology-neutral procurement applied in Sweden in recent years, different environmental impacts were assigned weights, but no weight was given to the particular technology employed. Even here, however, potential inefficiencies were found where the scoring rule could have led to arbitrary, and presumably unwanted, outcomes. Explicitly assigning monetary surcharges to desirable and undesirable environmental effects may be a better way to reach environmental targets.