on 1.19.2, farbric using EMF 0.2.9 and ETF 4.4.4
The wolf should look like and be animated like this pig, but instead the vanilla's wolf model overlaps with the resourcepack , tried removing all my other mods to see if something was causing that but issue still persist

Im using this exact version of the resourcepack
https://www.curseforge.com/minecraft/texture-packs/fresh-animations/files/4360370

https://github.com/Traben-0/Entity_Model_Features/assets/85463975/4de67faf-6b65-4229-b285-436099feefe5

I have the same problem in 1.20.1 Forge.
I had no mods loaded other than EMF and ETF.
EMF: entity_model_features_forge_1.20-0.2.11
ETF: entity_texture_features_forge_1.20-4.4.5

do you have the setting to subsitiute missing model parts enabled?
this can happen when it is as that code is not final yet

I have not touched the mod settings.
I just installed both EMF and ETF as they are.

can't reproduce in latest versions of the mod, most likely fixed in EMF v1.0