After learning how to download, install and use Coinomi at last I discovered that coinomi does not supports TRC20 coins.
I am looking for something where I can also store my USDT TRC20 coins along with some other major ones, hence have to stick with Trust Wallet.
It's something I didn't know because I don't have any similar tokens in my possession, but I've done a little research on the subject and here's what Coinomi has to say about it:
The Tron version of USDT is currently not supported by Coinomi. USDT on Tron, along with other TRC20 tokens will be supported on a future update. If you receive USDT on Tron, don't worry, your tokens are perfectly safe and will display normally once TRC20 support is added.
I'm not an expert on all these things about tokens and their chain/layer, but I know you have to be careful with transactions because there are a lot of token cases that end up at the wrong addresses due to all the confusion about where it actually belongs.