After Cambridge, Babbage made many attempts to become a lecturer at different universities and colleges with varying success. He found similar mixed results with making publications but did publish "Economy of Machinery and Manufactures" which led to the "Babbage principle" relating to the benefits from better division of labour.
During his post Cambridge career, he work on his most famous works, the difference engines and the analytical engine. None of which ever saw completion. The first difference engine received funding from the British government but after Babbage fell out with the engineer assigned to the project over his costs, it was never completed. The second engine which he later conceptualised did not receive funding and thus was not built until the British Science Museum built one from his designs in 1991. The concept for the Analytical Engine was something Babbage worked on up until his death in 1871.