when I bought a new one, they also used grease.
it was red and looked like the mobile one grease I have used in the past.

if you feel like it, pull the whole cable.
clean out the gunk in it by soaking it in cleaner, and then let it dry out.
coat the inner cable with grease and put it back together.

or you can just pull the inner portion out and coat it with grease and slide it back in. you will have to spin the inner portion a bit to get it to seat into the transmission when you put it back.