What kind of sentence is this Cats unlike dogs and fond sitting on laps?

This sentence is grammatically incorrect. It has a few issues:

* Missing verb: The sentence lacks a verb to connect the subject "Cats" with the rest of the phrase.

* Incorrect preposition: "Fond" should be followed by "of" instead of "sitting".

* Unclear meaning: It's unclear what the sentence is trying to convey.

Here are a few ways to correct the sentence:

* "Cats, unlike dogs, are fond of sitting on laps." This clarifies the relationship between cats and dogs and adds the necessary verb "are".

* "Cats, unlike dogs, enjoy sitting on laps." This uses a more natural verb and clarifies the action.

* "Cats, unlike dogs, often sit on laps." This focuses on the frequency of the action.

The best way to correct the sentence depends on what you want to emphasize.