Counter rotating fan aircraft gas turbine engine with aft booster

The turbofan gas assembly (10) has a low-pressure turbine with low-pressure turbine flowpath and located aft high-pressure spool. The turbine with counter rotatable low pressure inner and outer shaft turbines. A single direction of rotation booster (16) with rotatable row of booster blades (116,117) is drivenly connected to low-pressure outer shaft and axially located aft and down stream of aft fan blade row (13,15).