Green top light on is normal. The red one below it flickers and is pretty dim. That is normal.
So there some settings to set first. You need to decide how many wireless zones you need. Pick 16 or 32 unless you REALLY NEED More. Now the wireless receiver looks like an expansion enclosure to the Omni. Every bank of 16 zones equals 1 expansion enclosure.
So you open up the wireless receiver and see the two pushbuttons in there. You increment to the zone you want to program, then usually trigger the sensor by inserting the battery or triggering the tamper switch. At that moment you should see one or both of the LED dots before and after the two digit number light up. Do did you see any dots light up? This tells you its programmed. Put it back in run mode. Then trigger the sensor and it should flash the zone number and AL which is "Alarm." The receiver probably will work fine even if the Omni is not set correctly. Is any of that working?
Wait update, the IIe only supports one group of 16 added wireless zones, but if you like each zone can have up to 4 wireless sensors. I other words, wireless zone 1, 17, 33, and 49 are all the same zone as the Omni sees it, but you can have up to 4 sensors for that zone if you like.