1. I like some of them.

Question

2. I like them some. (Is this grammatical?)

3. I ate two of them.
4. I ate them two. (Is this grammatical?)

5. I found all of the books.
6. I found the books all. (Is this grammatical?)

Answer 1

#1,2 both are correct, but mean different things.
#4,6 are both bogus.

Answer 2

1. I like some of them. This means I like a number of "them" but not all. It's correct.
2. I like them some. (Is this grammatical?) It's correct if you mean you like all of them at least a little bit, but I don't like them a whole lot!

3. I ate two of them. correct
4. I ate them two. (Is this grammatical?) incorrect

5. I found all of the books. correct
6. I found the books all. (Is this grammatical?) incorrect