The Large Area Telescope on board the Fermi satellite observes the whole celestial sphere above 100 MeV several times per day. Such observations are ideal for observing different kinds of transients. The LAT Transient Factory focuses on short-duration transients (~3 hour or less). It is composed by a new triggered search for detecting high-energy counterparts of Gamma-Ray Bursts, and a new blind search. The triggered search improves the number of detected GRBs by 40-50% with respect to the published Fermi GRB Catalog, and allows for the detection of around 100 GRBs over the 6 years of the mission. The blind search is instead being developed, and will explore a poorly-known region of the parameter space, with a high potential for discoveries. I will describe such advancements, also in the context of a new Fermi event analysis which improves on the general performances of the LAT for past and future observations ("Pass 8"). I will also quickly present applications of the blind search methodology in the context of the project 'Exploring the X-Ray Transient and Variable Sky' (EXTraS).