This website: https://app.climateengine.com/climateEngine
Is a tool powered by google to obtain climate data using google earth engine without the need to write a script. However, it only provides timeseries data (not NETCDF file). There you can find, for example, GLDAS daily and FLDAS monthly soil moisture data from 2000 to 2022. Put in mind that you need to upload a shape file of your area of interest to obtain the data.
For monthly soil moisture data for Andhra Pradesh from 2012 to 2021, you can contact or visit website of IMD (Indian Meteorological Department) , Pune, Maharashtra for soil moisture data.