How to wire two switches to control bathroom fan/light combo (only two 12/2 cables in receptacle)?

My bathroom has a light/fan combo fixture. The wall receptacle previously had:

1. Single pole switch to control the light (on/off)
2. Single pole switch to control the fan (on/off)
3. Mechanical timer switch for the fan

There are only two 12/2 cables coming into the box (I assume one for fan, one for light). I removed the old switches because I just wanted to replace with a new rocker switch for the light and a new timer for the fan (no longer 2 switches for fan). I believe the two fan switches before were tied together to you could either leave the fan on/off with one switch or set a timer for it with another. Unfortunately, I didn’t pay close enough attention to how it was wired before and am at a loss for how to wire this correctly.

Here is a picture of the wires in the receptacle:

I want to connect a single pole switch for the light on the right side (has a ground nut and two brass nuts) and an Eaton 9590AW 5-Button Preset Minute Timer for the fan (has a green ground wire, a red wire, and a black wire sticking out of the back). The timer supposedly does not need a neutral wire.

Any input on how I should wire this? When I just try to wire the timer switch to the cable on the left and the light switch to the cable on the right, I get no power to the fixture. When I try combining wires with pigtails, sometimes I can get light to operate but either the fan is always on or the fan has no power. I cannot seem to figure out how to wire the light and the fan separately so that I can use the timer feature for the fan.