Where is the origin of the problem and how do I solve it?
The cause of this is simply that the song is not 205 bpm. It is only 205bpm if you are considering a group of two eighth notes (one quarter note) to be a beat, which is not how you count 6/8 music. You use a dotted quarter note. You can verify this yourself, by listening to the song and tapping your foot along with the beat. You will definitely not be tapping your foot on every second eighth note.
You can likely find in a setting for this in Cubase, such that it uses a dotted quarter rather than a quarter note. I'm not sure where the setting is, but try searching for 'time basis'. It's a common misconception that Band-in-a-Box is getting the tempo wrong, but it's not.