Sometimes you have to turn down something that you sought competitively.
Undergrad or graduate school admission offers. Job offers. Fellowships.
Occasionally, research support grants.
Do you list these things on your CV? I can see the temptation.
If you view your CV as being about competitive accolades. But we don't do that. In academics your CV is a record of what you have done. Which undergraduate University conferred a degree upon you. Which place granted your doctorate. Who was silly enough to hire you for a real job.
We don't list undergrad or grad school bids or the places that we turned down for a job offer.
So don't list grants you didn't take either.