you said you new transmission is doing the same thing as the original transmission, but you never said what the transmission was doing,
was the transmission shifting hard?
not shifting at all?
adaptive relearn is as follows
disconnect battery for 30 seconds, reconnect battery, start engine, put shifter in position "D", for 5 seconds, then in position "N" for 5 seconds, then back to "D" 5 seconds...then back to "N" 5 seconds do this 5 times total.
then position "R" 5 seconds then position "N" 5 seconds, repeat this process 5 times,total.
If this does not work change anything, you may want to replace your transmission control module, 90% of the time, if transmission did not fix the problem, it was because the pcm was the fault.