Community health centres (CHCs) in Ethiopia have been established to improve access to healthcare services, particularly for rural and underserved populations. However, their effectiveness is not well understood, with limited data on system performance. A systematic literature review was conducted to identify studies evaluating CHCs from to . Studies were selected based on their use of Bayesian hierarchical models for measuring risk reductions and reporting methodological details such as model specification, data sources, and analytical procedures. Bayesian hierarchical models showed considerable variability in the direction and magnitude of risk reduction measures across different CHC systems evaluated in Ethiopia over a single year. For instance, one study reported a 30% decrease in child mortality rates associated with improved access to basic health services provided by CHCs. The extensive use of Bayesian hierarchical models highlighted the need for standardised reporting practices and more rigorous evaluation criteria to ensure consistent and reliable risk reduction measurements across different CHC systems. Standardisation of model specifications, clear documentation of data sources, and robust validation processes are recommended to enhance the credibility and utility of studies evaluating CHC effectiveness in Ethiopia. Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.