The ONLY grease that should be used on the spline is genuine Moly 60 paste (60% molybdenum disulfide). A lot of greases now say "Moly" on the container, but dont come close to the Moly 60 paste. Moly 60 is a dry lubricant which bonds to the metal surfaces, offering lubrication properties even when the parts have squeezed everything liquid out. Part number for Honda Moly 60 Paste in a 3 oz. tube is 08734-0001
UPDATE #1 : Reports from the Valkyrie Riders website VRCC are saying that MOLY 60 is not holding up and you'll get rust over time. I recommend using GuardDog 525. It is 30% moly and has been tested and designed for motorcycle use
UPDATE #2: Honda Moly 60 Paste has been discontinued and GuardDog is no longer in business. Honda Moly 60 has been replaced by Honda HN 08798-9010 MOLY PASTE (M77). Some current Moly paste choices are Honda M77, Loc-Tite 51048, TS-60 moly paste and Jet-Lube. There are differences in Molybdunum disulfide percentage and temperature rating among these... so I suppose the one with highest Moly content and highest temperature range would be the winner?
The Loc-Tite & TS-60 products gets good reviews.
UPDATE #3: I confronted a service manager at the dealer I usually go to for parts on what's the right stuff to use for the drive splines. He replied "The manual says to use Honda Moly 60". But when I asked him if that's what's used in the shop he kinda hesitated and said "Well, no we use Bel-Ray Assembly Lube ". But, finding Bel-Ray Assembly Lube might be a challenge. It appears that it's no longer available at some outlets. Over on the Valkyrie Riders Cruiser Club website (VRCC) many riders are using Bel-Ray Waterproof Grease (not the same as assembly lube) with favorable results and having virtually no wear on any of the splines even after 100k miles. So, take that for what it's worth.
Original lube requirement per Honda Service Manual for a GL1100 is lithium based multipurpose NLGI No. 2 grease w/MOS2 additive. The lube requirement for my '99 Valkyrie was Molybdenum Disulfide Grease .... basically a multi-purpose grease w/MOS2. So .... you will need to decide what your comfortable with.
But, like notable members have pointed out, the BIG key to long life for the splines is proper assembly procedure and checking/re-lubing at 10k-15k miles.
I removed the website and photo for GuardDog as it is no longer in business. It's replacement appears to be the HONDA M-77 & TS-60 product referenced below. TS-60 seems to be what the Beemer dudes are using.
Because Moly-60 Paste is no longer available it should be substituted with one of the products listed below.
Check out the following links:
BEL-RAY WATERPROOF GREASE https://www.belray.com/product/waterproof-grease
HONDA M-77 https://www.amazon.com/Honda-HN-08798-9 ... B0083BWUYW
LOCTITE MOLY PASTE https://www.amazon.com/Loctite-234227-L ... B001HWBSJW
TS-60 SPLINE GREASE https://www.tsmoly.com/grease-spline-grease-p-367.html
JETLUBE http://www.jetlube.com/pages/EP_Bearing_Grease.html
With your rear wheel off the bike, the drive splines will be exposed.
The drive side spline has a splined gear that extends outward, and rotates as the driveshaft rotates.
The wheel side spline has a splined gear that accepts the drive side spline. Before you remove the wheel side spline from the wheel, and it might take some persuading, scribe (or use a magic marker) it's orientation so it goes back in the same holes.
Clean off any existing grease with whatever means available (Rags, Q-Tips, Paper towels, etc). You'll likely need some solvent like Kerosene or Brake Parts Cleaner to get them clean (I used lacquer thinner). You want the surfaces to be CLEAN & DRY prior to applying the paste.
When all the splines and sliding pins are clean and dry then apply the Moly-60 paste. The idea here is to more or less paint the splines - you're not looking for a large volume of grease, like you would use on a wheel bearing. It's helpful to use a clean solder flux brush or old tooth brush to spread the grease or just use your fingers to smear it on. It's going to be a messy task so wearing some latex gloves is a good idea.
Inspect the o-ring for wear and replace if necessary. Coat the wheel hub and o-ring with some Moly 60.
Coat the sliding pins on the wheel side spline as well.
Before assembling the wheel side spline, clean out the sliding pin bores of the wheel. A 20 ga. gun cleaning brush in a drill works good for this.
That's it. Now assemble the wheel and drive unit to the bike. While you're at it now would be a good time to change the gear drive oil too.