It appears you are still incorrectly conceptualizing evolution as a linear ladder. That's not how it works though. Evolution forms branching patterns of different biological forms over time. It's possible for a new biological form to 'branch' off of an existing population, and evolve independent of it, while the original ancestral population continues to exist.
In the same manner, it's possible for your family tree to have cousins, aunts, uncles, etc, all existing at the same time as you, your parents, and your grandparents.
Hence, why it's possible for transitional forms to exist as contemporaries as the biological forms they branched off from.