The best way is to... try them yourself. As dlanor said... what discs a PS2 may favour depends on it's original hardware configuration, and how it was worn out.
Haha, so the verdict is DVD-R of Verbatim or Sony for my older PS2?
My SCPH-39006 (with HD7 laser) can accept both DVD-R (And seems to favour this) and DVD+R discs.... but other people here have stated that their 39006 consoles can only read DVD+R discs.
My (ex-)SCPH-39001 could only read DVD-R discs of high quality (Cheaper discs like HP DVD-R discs won't boot, and not DVD+R discs either).
Personally, I'll use Verbatim discs... since I don't personally recognise Sony as being a reliable DVD-R disc manufacturing brand.
So you should just try both, and side with either brand (Depending on which one you feel works *better* with your console).
BTW it seems like a bad idea to burn your discs with a laptop's drive, because those drives are known to be not as good burners as their desktop equivalents.
SCPH-10000 S. MINOKAMO v1.01 (Defunct)
SCPH-10000 S. KISARAZU v1.00 (faulty)
SCPH-15000 S. KOHDA (With warranty seal!) :D
DESR-5100 S. EMCS