Infections during pregnancy will increase womens risk of serious consequences. People have started to study the cohorts with safety data for vaccination during pregnancy. However, new advanced statistical methods are much needed to address the complicated data features of such cohorts including cure rate, partly interval censoring and left truncation. We propose to use semi-parametric sieve estimation method to deal with this complicated data structure and we assume the data follows non-mixture cure model with Cox proportion hazard regression. Simulation and real data studies are performed. We also provided asymptotic results for the proposed estimation method.