SM2RAIN (Satellite Soil moisture-derived Rainfall): please have a look here https://www.researchgate.net/post/Can_I_get_a_free_source_of_daily_rainfall_data_for_the_entire_globe_Satellite_derived_data_can_also_serve_the_purpose
Although you are looking for global dataset, you may want to have a look also to the H-SAF project site, which provides rainafall, soil moisture and snow satellite products: http://hsaf.meteoam.it/
for what concerns Soil moisture data you can check SMOS mission site : http://www.esa.int/Our_Activities/Observing_the_Earth/The_Living_Planet_Programme/Earth_Explorers/SMOS