However, it is easily possible a generator with several EC cards and accounts to connect, I myself use this with a Volksbank and two Postbank accounts.
Is the TAN generator Once connected and plugged in the appropriate EC card you can by pressing can generate Tan number of F key. Then you have a few more times to confirm the data with OK and then gets to be entered Tan.
Once you have understood the operation to get along well with them.
Before I forget, on the small box of the TAN generator is a number, this is required by some banks, so do not throw them away!