The Awesome Miner main application requires Windows. The Remote Agent application used for GPU and CPU mining can however run both on Windows and Linux.
For more details, see the guide Remote agent for Linux.
Awesome Miner can also connect to mining software already running on Linux - including software running on EthOS and HiveOS. If Claymore Ethereum miner is running on a Linux computer, Awesome Miner can connect the Claymore Ethereum miner as an External Miner if the API of the Claymore Ethereum miner is enabled.
To enable the API of Claymore Ethereum miner, make sure the mining process on Linux is started with the command line argument: -mport 3333