No: The supply of the original token never changes as a result of using Energi Bridge.
Energi Bridge stores and locks the token on the Ethereum blockchain and mints the exact same amount of tokens on the Energi blockchain. By doing this, the token holder relinquishes ownership of the tokens on the Ethereum blockchain and the locked tokens are taken out of circulation from the Ethereum blockchain. The tokens minted on the Energi blockchain represent the original tokens.
As a result of the lock and mint process, the total circulating supply of the original token remains the same.