A question concerning Theistic Evolution:
If man is the present product of an evolutionary process, is he still evolving?
Yes.
And if he evolves into something else beyond human, will he still be considered "
made in the image and likeness of God"?
This question reflects a misunderstanding of how evolution works. We have evolved "into" humans, but in doing so we have never evolved "out of" what we were before we were human. Evolution never takes a species out of its ancestry.
We evolved from apes and we still are apes. Apes (including us) evolved from primates and we still are primates. Primates evolved from mammals and we still are mammals. Likewise we are still amniotes, tetrapods, vertebrates, chordates, animals, eukaryotes*. We still are all that our non-human ancestors ever were.
*I am skipping some classifications here for brevity.
The same applies to our descendants. They may differ from us in many ways, but they will still be eukaryotes, animals, chordates, vertebrates, tetrapods, amniotes, mammals, primates, apes and humans. They may be different sorts of humans than us. They may even call themselves by a different name. But whatever they become they cannot cease to be human, because their ancestors (us) are human.
As to whether they are still in the image of God, I cannot say for certain but I see no reason why not.