we sold partner we bought 307 sw

Hello everyone, we had a 2005 partner, we bought a 307 sw 2004 automatic gearbox with swap. Since the tool is automatic, I wanted to consult you on some unfamiliar topics.
First, the tool 1. When I was in gear, I went to 2nd gear at 5500 revolutions. It came to me. Also, I forced 6000 to change from 2nd gear to 3. Then, next to D position, I have lowered the gear up and down in certain directions in the + - direction. What do we need to do to automatically shift gears at speed, or is there a malfunction. There are buttons like SM in the gear position and snowflake shape. There is no operating manual since the vehicle is second hand. so if there are friends who have used this tool, i would be glad if they help.
Finally, I said that the car is BRC brand LPG and gasoline, I change gear by myself. in terms of shifting and shifting.
thanks for your answers already

there is a problem with the automation of the vehicle, it is useful to carry out the checks