How to move the light on the fan remote to stay dim? It is model: FAN 11 T

If I understand you correctly, you want the light to turn on and off with the remote, and when it is on it is to be dim.

I assume to get to the brightness level you want, you press and hold the button on the remote. Once you get to the desired brightness level you let go of the button.
Now, to turn the light off, just press the button once quickly and release. It should go off. Press it quickly again--it should come on at the dim setting.

I hope this helps,
WallyH