The Mount Energy Booster module for your Jade Bot increases your energy regeneration, which indirectly increases the movement speed of most mounts, but there's no way to increase their default running speed. I believe there is precisely one speed boost that works on mounts -- on sandswept isles, if you ride for a long time in a straight line on
Both Griffon and Skyscale are heavily quest/achievement gated, and require you to have already gotten and maxed out the Jackal as well as your core PoF mounts. The Griffon is theoretically faster, but costs 250 gold in 10 installments of 25 gold.
.