The correct option is B False
A noun clause is a dependent clause that functions as a noun. It usually
begins with what, whatever, whom, that and other such relative
pronouns. A noun clause can act as a subject, object, predicate
nominative or object of a preposition, in a sentence.
While expanding a noun phrase to noun clause, a subject and a verb must be added.
The underlined words form a phrase, it does not have a subject nor a verb, hence it is not a clause. The words "that we make the cookies quickly" in fact form a clause.
Hence the statement is false and option B is correct, A is incorrect.