Sorry not sure if I understand your question
1...Are you wanting to get the sony to burn to a DVD as the lite-on drive reads the source ? e.g coppy "on the fly"
2...Use both the lite-on and sony to burn to a DVD at the same time ?
On #1 DVDFab does not work on the fly, however you can use DVDFab's Passkey with ImgBurn, see the guide below in my signature "Passkey with ImgBurn on the fly"
As for #2 DVDFab has a setting "Allows running multiple instances of DVDFab", in which case you can find steps for this in the "Common Settings" guide, Tips & FAQ see below in signature