Research funding is a key determinant of scientific progress. However, current allocation procedures for third-party funding are criticized due to high costs and biases in the selection. Here, we present data from a large German funding organization on an implementation of a lottery-first approach followed by peer review to allocate funding. We examine the changes in submissions and funded projects of female applicants after implementation, estimate the costs of the overall allocation process, and report on the attitudes and satisfaction of researchers and reviewers. The data show an increase of 10% in submissions and a 23% increase in funded projects from female applicants with the lottery-first approach compared to a previously used procedure. Additionally, the lottery-first approach was estimated to have 68% lower economic costs compared to a conventional single-stage peer review approach. Satisfaction with this funding approach was high and around half of applicants preferred an initial lottery followed by peer review over a conventional approach. Thus, the lottery-first approach is a promising addition to allocation procedures.