CMC gets its supply numbers from the main FUNK explorer here https://chainz.cryptoid.info/funk/ through https://chainz.cryptoid.info/api.dws
from https://coinmarketcap.com/faq/
What is the difference between "Circulating Supply", "Total Supply", and "Max Supply"?
Circulating Supply is the best approximation of the number of coins that are circulating in the market and in the general public's hands.
Total Supply is the total amount of coins in existence right now (minus any coins that have been verifiably burned).

Why is the Circulating Supply used in determining the market capitalization instead of Total Supply?
We've found that Circulating Supply is a much better metric for determining the market capitalization. Coins that are locked, reserved, or not able to be sold on the public market are coins that can't affect the price and thus should not be allowed to affect the market capitalization as well.

So we need the Circulating Supply API http://chainz.cryptoid.info/funk/api.dws?q=circulating  to reflect the burn.

Perhaps fairglu will adjust the explorer if we give him the details of the burned FUNK. https://bitcointalk.org/index.php?topic=571254.0
We may have to update the FUNK wallet source code so it gives the new supply when the getinfo command is used however.