Here are the instructions for auto code search from the Omnitech manual:
Automatic Search
There is another way to set up your controller, that does not use the brand code lists. You can let your
controller search through all of its available codes automatically in order to set the connection to the
target device. To do this, follow these steps:
1.Turn on the target device.
2.Point the controller at the target device and press and hold the Code Search button for around 3
seconds, until the LED light stays red.
3.Next select the type of device the target unit is by using the Cable/TV/VCR/DVD/Sat Buttons (i.e. if
it is a TV that you are trying to control, press the TV button). The LED light should then blink once,
then stay red.
4.Press the On/Off button on the controller slowly and repeatedly until the device you are trying to
connect with turns off. (Note: the LED light will blink each time you press the On/Off button). When
this happens, press the ENTER button in order to store the code and the LED light will turn off.

Can I use a Living Solutions remote A17G0510 to set up aVizio 22in. TV for mu mother.

I have this remote. But I don't know what you mean by control numbers? Do you mean codes? You can program it by holding down the code button till the red light stays on, then punch the button you want to program, tv or dvd, then press power till your machine comes on then press enter.