The 4D EFTs coming from type IIB compactification come with a plenitude of scalar fields, named moduli, and axion-like particles. In the process of moduli stabilisation, some of these fields can develop a potential which is flat enough to drive inflation, others may play the role of DM and DR. Several models can be built to understand what would be the cosmological history features coming from string theory. We focus in particular on concrete inflationary models and on the phenomenology of ALPs.