I've been playing a Tyvar edh deck for some time, and when elves have a mana ability granted from another source, the mana ability doesn't trigger Tyvar when it resolves.
Ex: I have a Level 5 Joraga Treespeaker, Tyvar the Bellicose, and Gnarlroot Trapper. If I use Gnarlroot trapper's t: add {B} ability, Tyvar's ability triggers and Gnarlroot gets a +1/+1 counter. If instead I use Gnarlroot trapper's t: Add {GG} ability granted by Joraga Treespeaker, Tyvar's ability does not trigger. I have found this happens very consistently across games.