How to transfer coins not listed in my wallet

If you mean QNT as in Quant (QNT), it’s an ERC-20 token and you have to add it to your Ethereum account. See here for how to add an ERC-20 Token in Trezor Suite. The process is the same for all ERC-20 tokens.

If you mean SYS as in Syscoin (SYS) then it’s supported by your Trezor device but not in Trezor Suite, so you have to use a third party wallet called Electrum-SYS to interact with this coin.