These are Token distributions going into your Ethereum address. Token transfers are transmitted inside an Ethereum transaction, even if no ETH was actually transferred. This is why you see it as 0.00, and also why it shows up on your Ethereum transaction history.
If you received any of those token transactions, to see and transfer the tokens, search etherscan.io for your address and look for the section "token tracker". That will list all the tokens under your Ethereum address.
We natively support hundreds of tokens already, and you can add their wallet following our guide: How do I add a supported ETH token in Coinomi?
If the token isn't already in our dApps list, you can use their information and follow this guide to add it manually: How can I add a token that is not in your list of 200 natively supported tokens?