Removing the back cover:

The plastic cover with the "logi" logo is mainly glued on. on the top of the remote, there is a little tab.

Start prying with a soft plastic plectrum or a sharp knife at the bottom edge.

Be careful to not damage the plastic like I did - it's very soft!

Removing the top cover:

Just like the back, the top plastic cover is also just glued on and is very easy to remove.