On mobile you have to either
a)be level 85+-95+ depending on difficulty
b) buy the crown which requires the primal pass and 100+ amber
c) have your name end with a surten syllable (look on yt/Google for the options) and be level 40+
If you don't do that then the Griffin won't eat when unconscious.
Sorry for th long tip.
Please note the like megalanias,wild griffins are aggressive and get attacked by other carnivores,and does zero damage,so u won't hav to worry if a therizinosaurus kills it while taming it.(edit:zero damage to wild creatures)
The speed demons of the skies.if you meet one i hope your on a fast moving tame as they'll tear you a brand new one otherwise.even with the flyer nerf a high level one can outrun a wyvern without trying.
Most amazing thing ever I was in the Wyvern cave with my griffin and I get knocked out by a Lightning Wyvern and fall into the water and barely escape I come back 2-3 days later and I find this guy wandering around looking for me I brought him/her (gender is n/a) back to base and renamed it mr.loyal (don’t judge me)