Yet more questions on entering a DAF donation

[sbsnyder001]

I am following up on the questions from last year about a DAF donation.

1. Do I have to list ever stock donation to the DAF, or can I just list the monetary value of the donations?

2. If I do have to list every stock, why do I list the cost basis? I thought that the tax benefit of the DAF is that I donate stock and I am not required to account for the basis, because the current value of the stock is the deductible amount. 

Thanks!