You may feel that the desktop version is empty, particularly as you can't help comparing it to the mobile version. But I don't feel that the desktop version is 'too empty' for me it is 'clean and clear' - exactly the sort of design you sweat blood in order to achieve.
There is an important concept in UX behind it, which is called Satisficing. While it is interpreted in different ways, one works as follows:
The higher the information load, the higher the cognitive load, attention, and time required from the users to interpret and comprehend the information; the relationship between these is expressed by the straight 'required' line. But due to time and cognitive limitations (for instance, 3-5 items in working memory), users often have to take shortcuts - there's just as much the brain can process; this is shown by the curved line). Thus, the more information, the more users select what to focus on and the bigger the 'comprehension gap'.
Notice that the illustration is for demonstration purposes only - the exact line shapes are not based on scientific experiments (the overall concept does though). Also, the concept applies slightly less in your case - where the nature of the data is very similar (unlike in, say, a news website).
Yet the point is this - the more information, the higher the cognitive load you impose on the user, and the less attention the user will give each item on the interface.