The problem of backhauling for optical attocell networks has been approached by a number of wired solutions such as in-building power line communication (PLC), Ethernet and optical fiber. In this paper, an alternative solution is proposed based on wireless optical communication in visible light and infrared (IR) bands. A thorough analysis of signalto-interference-plus-noise (SINR) is elaborated for a multiuser optical attocell network based on direct current biased optical orthogonal frequency division multiplexing (DCO-OFDM) and decode-and-forward (DF) relaying, taking into account the effects of inter-backhaul and backhaul-to-access interferences. Inspired by concepts developed for radio frequency (RF) cellular networks, full-reuse visible light (FR-VL) and in-band visible light (IB-VL) bandwidth allocation policies are proposed to realize backhauling in the visible light band. The transmission power is opportunistically minimized to enhance the backhaul power efficiency. For a two-tier FR-VL network, there is a technological challenge due to the limited capacity of the bottleneck backhaul link. The IR band is employed to add an extra degree of freedom for the backhaul capacity. For the IR backhaul system, a power-bandwidth tradeoff formulation is presented. Closed form analytical expressions are derived for the corresponding power control coefficients. Finally, the network sum rate performance is studied using extensive Monte Carlo simulations. Index Terms-Light-fidelity (LiFi), optical attocell network, visible light communication (VLC), infrared (IR) communication, wireless backhaul, power control, multi-hop relaying, decodeand-forward (DF), direct current biased optical orthogonal frequency division multiplexing (DCO-OFDM). Received signal for the backhaul link of BS i on subcarrier k v b i,k Received noise for the backhaul link of BS i on subcarrier k γ b i Received SINR per subcarrier for the backhaul link of BS i R b i Overall achievable rate for the backhaul link of BS i Ba Bandwidth of the access system x a i,k Transmitted signal in the access link of BS i on subcarrier k y u,k Received signal for the uth UE on subcarrier k v a u,k Received noise for the uth UE on subcarrier k γu Received SINR per subcarrier for the uth UE Ra i Overall achievable rate for the access link of BS i R i Multiuser sum rate for the end-to-end downlink of BS i