If you don't see the funds in your wallet after checking your address in a blockexplorer, then you don't have the funds. If you do, It could be a display issue.
Alternatively, I suggest getting in touch with the community/dev team in Reddit or Telegram, can be found on their site (footer): https://www.coinomi.com/
Bro almost 10 months and more up so far after you opened this thread! Still is that not confirmed from the dev team of Coinomi, they should check and rectify the bug on their wallet or site right?
Can you check and confirm once again. I have their application on my phone and so far I did not find any issues with the wallet about usages.
This is an old dBase issue (funds were not affected of course) which is now fixed. All tokens are addable from either +Tokens list (if they're natively listed in the wallet) or the search function in the same page if they are not.
Also note that you don't have to expose your ETH key to mew, as the seed is cross-importable (coinomi to mew, mew to coinomi).
Angelos from Coinomi