<p>Orthogonal Time Frequency Space (OTFS) modulation has emerged as a robust solution to address the high Doppler sensitivity inherent in Orthogonal Frequency Division Multiplexing (OFDM) systems. In this technique, the information-carrying signals are defined in the delay-Doppler domain and its time-domain equivalent signal is transmitted. The conventional OFDM-based systems can be made robust in high mobility scenarios by integrating the OTFS technique with it. Cognitive radio (CR) is an advanced wireless communication technology that enables intelligent and adaptive utilization of radio frequency (RF) spectrum resources. In this paper, an effort to design OTFS-based CR systems is performed so that OTFS can enjoy enhanced spectrum sharing and interference nulling properties in high mobility scenarios. The OTFS signal needs to be made non-contiguous in the frequency domain to enable these properties in a cognitive radio framework. The direct manipulation of subcarriers to establish non-contiguity in the frequency domain for OTFS presents challenges, given that the modulation symbols are inherently defined in the delay-Doppler domain. The derivation of each symbol in the time-frequency grid results from the spreading of symbols in the delay-Doppler domain. This paper proposes a novel technique for the generation of non-contiguous OTFS waveforms, making them compatible with cognitive radio environments. Additionally, a sub-optimal approach requiring a reduced computational load to achieve the non-contiguity is presented. The results obtained through simulations demonstrate the effectiveness of the proposed methods.</p>