No, they can't: it is worth remembering that Feats in the 2014 lies, including the Variant Human, are an optional rule entirely (hence "Variant Human"). New Feats for the optional system barely ever even reached publication: there was literally one single Feat, for Deep Gnomes in Sword Coast Adventurer'sGuide, between 2014 and the publication of Xanathar's, and Eberron was the only book between Xanatand Tasha's to include Feats (except for Theros, but not really strictly speaking).
This UA is not compatible with the 2014 Feats Variant, but...that's OK, and doesn't break "compatibility." The Variant Human doesn't quite work, but...it's a variant, not the standard rule. Someone alert the TVA.