This is weird. The green wire at the thermostat is attached to G, but at the furnace,green is attached to Y. And the Y wire at the thermostat is blue. Is there a splice somewhere in the wire where these colors get switched? Please show how you have wired the C adapter.
The old thermostat has terminals that can be used for multiple functions, depending on what system they are attached to. In your case, the wires are as follows, from left to right:
Green : G
Red : Rc
Blue : Y
White : W
At the furnace panel, the red wire on Y and the white wire on C should stay where they are, and assuming the green/blue wires get swapped somewhere in your wire run, the terminal strip on the C adapter should have the red wire from R on the R terminal, the green wire from Y on the Y terminal, the blue wire from G on the G terminal, and the white wire from W on the W terminal The C adapter’s ribbon cable should be connected to the furnace’s control board, so there should be 1 wire on W, R, and G, and 2 wires on Y and C.