dma modes looks alright,not the cable i see , seems optical drives just doesnt work right on this pci card (quite common,hard to find a card that works properly with em,most are just intended for hds) , i suggest youll connect the burner to the motherboard ide socket and burn again then youll probably get lucky , its called firmware not driver those are 2 diffrent things , and of course it did , it is the right drive but technicly not (your oem drive & the original liteon drive identify diffrently so..) you can use the liteon firmware only if youll patch it (you should ask on the liteon forum for more specific instructions,however i highly doubt this will fix the issue it looks like a controller problem,plus be aware crossflashing the drive will void the warranty)

edit your controller card have 2 ide sockets right? is the hard drive & burner each on a seperate ide socket? its plain bad to hook em up on same cable