MEMS Oscillator not running, why?
If your not getting and output from the MEM's Oscillator then the first thing to do is find out if its the design or the oscillator. Usually when these things happen I do the soldering work myself and make sure no soldering temperatures exceeded temperatures in the datasheet. 

The oscillators themselves are pretty simple and you should be seeing some kind of output since yours is the type that has a buffer. Make sure you have the DSC6013 and make sure the layout matches below. (you don't have a bypass cap near the oscillator, so if your Vcc is noisy this could be a problem).


Source: https://nl.mouser.com/datasheet/2/268/20005625B-1149229.pdf