Hello,
What is the Power Enable pin status during this capture??
I too faced lot of problems like this. But finally figured the problem was with CS line not being in de-asserted state when the Power Enable pin is taken to high.
I think the underline point is that CC3000 device is not able to understand the commnd that you sent to it, so keeps idle.
As long as you make sure the init sequence is as in the below page, CC3000 should respond:
http://processors.wiki.ti.com/index.php/CC3000_Host_Programming_Guide#Master_Write_Transaction
And also, did you configure SPI to be Phase '1' and Polarity '0' ?? For CC3000 Data is captured on falling edge and changed on Leading edge.
Hope this helps, and let me know if you are still facing the same issue.
Suneel K.V