Addendum to: Generically split projective homogeneous varieties

In this addendum we generalize some results of our article “Generically split projective homogeneous varieties”, Duke Math. J. 152 (2010), no. 1, 155-173. More precisely, we remove all restrictions on the characteristic of the base field and complete our classification by the last missing case, namely ${\text{PGO}}_{2n}^{+}$.