In my sense, "topological Hall effect" is often used in the context of "Anomalous Hall effect with real space Berry curvature". So, the Hall effect in spin non-collinear spin texture such as magnetic skyrmion or specific antiferromagnet(https://journals.aps.org/prb/abstract/10.1103/PhysRevB.101.174432).
On the other hand, Hall effects caused by k-space Berry curvature (band structure) (or scattering (skew scattering and side jump)) is called anomalous Hall effect. This term is used in both ferromagnets and antiferromagnets. For anomalous Hall effect in antiferromagnet, see https://www.nature.com/articles/s41467-018-05756-7.pdf?origin=ppub