These are not shivae-like at all. Theyâ€™re based very loosely on hadrosaurs and Pachycephalosaurs and come in MANY varieties. The common features are a prominent bony head and armored backs. They are fast, hardy animals with good stamina and agility. And â€¦ none have wings.
They appear bipedal saurian, with a hadrosaur crest as well as horns, with plates down their back, and fur going from their chin to the underbelly. 
When attempting to domesticate feral 'horses', they will often use a bit (sometimes removing two lower teeth to make it fit in the mouth). 'Horses' on this world do not have a gap between their teeth that so neatly fits a bit and this type of bit is considered cruel and not to be used. The bits of metal dig into the tongue and cause a lot of annoyance/pain.