I think the inner boot is some sort of lithium bearing grease, but I'm not sure. I just rebooted as well and still have the packets laying around and can give the info off there if you want to try and find something that matches spec. I couldn't find the grease separately online, but the inner grease Toyota PN is 90999-94161. The actual manufacturer is Kyodo Yushi Co. and its labeled as RAREMAX SLF. My guess is it could be this stuff:
Raremax Super Roller Bearing Grease, but thats just a guess based on it being the only Raremax S__ product I found there.
When you get new grease in there, I would recommend some smooth drive worm clamps, they worked well for me since the included clamps looked like a hassle:
Set of 8-Toyota 4Runner CV Axle Repair Clamps Kit
Heres a picture of the included documentation with the grease:
<a href="https://imgur.com/kZhVS3O"><img src="https://i.imgur.com/kZhVS3Ol.jpg" title="source: imgur.com" /></a>