Recently, many theorems were introduced for monotone, convex, 3-monotone approximation, r-monotone for functions in Lp Quasi-normed space. Now, there is a question: can we strengthen these results in terms of moduli of smoothness of higher order? The answer is no, which we see in our work here. Here, we introduce the negative theorem for the r-monotone approximation of function in Lp Quasi-normed space for 0 < p < 1.