TSB 11-10-15 seems to fit the OP's issue better:
HARSH 1-2 SHIFT BELOW 24 KM/H (15 MPH), HARSH DOWNSHIFT SHIFTS - FLARE ON UPSHIFTS - BUILT ON OR BEFORE 4/15/2011
Publication Date: October 12, 2011
FORD: 2011 F-150
Some 2011 F-150 vehicles built on or before 4/15/2011 may exhibit a harsh 1-2 shift at or below 24 Km/h (15 MPH), harsh downshifts and/or a flare on upshifts.
Follow the Service Procedure steps to correct the concern.
Reprogram the Powertrain Control Module (PCM) using IDS release 75.03 and higher. This new calibration is not included in the VCM 2011.9 DVD. Calibration files may also be obtained at www.motorcraft.com
. Using the IDS tool, clear the transmission adaptive table - Select Tool Box, Powertrain, Transmission, clear Transmission Adaptives. Perform adaptive drive procedure. Refer to Workshop Manual, Section 307-01 Diagnosis and Testing, Road Test - Adaptive Drive Cycle.
NOTE: PLEASE ADVISE THE CUSTOMER THAT THIS VEHICLE IS EQUIPPED WITH AN ADAPTIVE TRANSMISSION SHIFT STRATEGY WHICH ALLOWS THE VEHICLE'S COMPUTER TO LEARN THE TRANSMISSION'S UNIQUE PARAMETERS AND IMPROVE SHIFT QUALITY. WHEN THE ADAPTIVE STRATEGY IS RESET, THE COMPUTER WILL BEGIN A RE-LEARNING PROCESS. THIS RE-LEARNING PROCESS MAY RESULT IN FIRMER THAN NORMAL UPSHIFTS AND DOWNSHIFTS FOR SEVERAL DAYS.
Eligible Under Provisions Of New Vehicle Limited Warranty Coverage