If you had a software wallet following BIP39, you would be given a recovery seed (while making a backup) to recover such wallet by using any other compatible app or hw wallet supporting BIP39, such as Trezor.
Assuming your software wallet follows BIP39 since you mentioned that recovery process by using Trezor Suite has been successful.
If you see any differences in your balance, make sure you always compare the same accounts, and the same addresses.
See this post and make sure you have added all previously used accounts.
Please, beware, when you recover a wallet created by a third-party app, such wallet might not be secured enough since its recovery seed was created (and maybe stored) in a third-party app environment. Hence, if you recover such wallet, and use it with Trezor, the seed of such wallet, stored now on Trezor device, could be theoretically compromised.
TL;DR The best practice is to use Trezor generated wallet with Trezor device since the recovery seed never leaves it.