In this work we have obtained the absorption property in one-dimensional (1D) defective lossy photonic crystals (PCs) composed of double-negative (DNG) and double-positive materials by using transfer matrix method. The considered asymmetric geometric structures contain a defect structure at the center of the host crystal as a photonicquantum-well (PQW) with two different types of DNG layers. This study investigates the effect of the stack number of the bilayers PQW defect on the number, position, and the rate of the absorption of anti-resonant modes for both types of the DNG defect. The results show that these factors of the anti-resonant modes depend on the types of the DNG metamaterial corresponding to the defect layers. Accordingly, by changing the types of PQW defect, the anti-resonant modes are red-shifted or blue-shifted as a function of the stack number of PQW. Furthermore, the effect of loss factors on the rate of absorption is examined for the two different types of PQW. The results can present helpful information for designing new types of narrowband and multichannel filters at the microwave.