The backhaul of tens and hundreds of light fidelity (LiFi)-enabled light bulbs constitutes a major challenge. In this paper, a multi-hop wireless backhaul configuration is investigated for optical attocell networks. The backhaul system proposed in this work uses visible light communication (VLC) to realize wireless connections between adjacent LiFi base stations (BSs). By using a tree topology for the backhaul system, the central BS is collocated with the gateway, and the other BSs are connected to the core network via multi-hop wireless backhaul links with the gateway based on decode-and-forward (DF) relaying. The system-level modeling and analysis is presented for the end-to-end sum rate of multiple user equipment (UE) devices with random coordinates in the network. The closest backhaul link to the gateway needs to support multiple independent data flows at the same time. To this end, novel bandwidth scheduling policies are proposed and evaluated. In addition, in order to opportunistically reduce the transmission power of the backhaul system, novel power control schemes are derived. Performance gains of the proposed schemes and their impact on the average sum rate of the downlink optical attocell network are studied using Monte Carlo simulations.