I have used the Ashampoo burner but it was a while ago.
As I remember, and in common with most burners, there are a range of burning options to produce different types of disc. For example a data DVD has a different file structure from a music CD. It is important when setting the options before burning a music CD that you choose 'Music CD' or 'Play in a CD player' or similar wording before you start the burning process.
As a check, put your CD in a drive on your computer and look at it in Windows Explorer. The various tracks should have names ending in .CDA - Track 1.CDA; Track 2.CDA and so on and the reported size should be 1 KB each. This has got nothing to do with the size of the music files as they are hidden. What you see in windows Explorer is a type of catalogue file.
If this is what shows up when you look at the disc in Windows Explorer then it means the disc is faulty, just make another. If you see something other than the above, burn it again but check your settings carefully before you hit the 'Burn now' button.