The light fidelity (LiFi) has been successfully used to achieve high data transfer rates, high security, great availability, and low interference. In this paper, we propose a LiFi system consisting of a combination of non-orthogonal multi-access (NOMA), asymmetrically-clipped optical (ACO) and filter bank multicarrier (FBMC) techniques combined with offset quadrature amplitude modulation (OQAM). The paper also applies a $\mu$-law companding approach for a high peak to average power ratio (PAPR) reduction of the FBMC/OQAM scheme. The combination of NOMA, ACO-FBMC/OQAM, and $\mu$-law companding allows a significant increase in throughput and a significant reduction in non-served users. An appropriate algorithm is developed considering two scenarios, maximize the throughput and minimize the number of blocked (non-served) users. The results show that the throughput of the system can be increased by $1.8$ compared to FBMC and OFDM. Furthermore, the proposed system reduces the number of blocked users below $10\%$, while the system can provide $30\%$ or $60\%$ in case only the FBMC or OFDM is used, respectively.