All the process is manual (sending an email).
Go to Etherscan and search for your address contract, and in the “Official Links” section, click in “Update“.
You will be redirected to submit a form.
Basically the mandatory fields are:
- Official Site URL
- Link to the 28×28 png logo
- Official Email
- CoinMarketCap Link (Price Data)
To be in CoinMarketCap you must know these conditions.