There are different aspects in your question.
- is it possible to securely wipe disks?
The technologies now allow secure erasure on many media. On magnetic disks, the principle is to rewrite many times every sector with specific patterns which have been proven to make the previous information unrecoverable even by looking in the edges. On SSD media, many manufacturers now provide special commands that allow the internal logic of the drive to perform the erasure.
So unless on SSD that do not provide a secure erasure command, it is normally possible to securely wipe a disk
- How can erasure be controlled?
Unless you have an electronic laboratory at hand, you cannot. For magnetic disks, you should unmount the disk and analyse the surfaces to find where residual magnetic traces can be observed. For SSD you should get direct access to the memory banks. You can only trust experts that pretend to have processed those analysis... or choose not to trust them.
- How can I be sure that product X provides secure erasure ?
You cannot. It is really a matter of trust. If you can find good reputations sources that are consistant in saying that the product uses this well-known methods and/or has been tested by that (good reputation) laboratory, the level of trust can be increased
- Where can I find an official list of secure products?
I can sell you the only true one, but it is very expensive. Joking of course... Because you have no reason to trust me. The problem is that as an individual human being you have no way to control what is written here or there. It is just up to you with you mere intelligence to try to guess whether you can trust a site, post, or editor. If you think you can trust your government (or a government of a foreign country that you know the language), some provide lists of tools that are blessed to use by their own services.
As usual, defining trust levels is very hard...