I think the Warp Arc Effect still works, you just need to refine the settings to get a closer match. Selecting the objects and adding a Warp Arc of 32% Bend and -3% Vertical Distortion worked for my object. If you add a small negative vertical distortion, it helps sell the effect. Then you can move the lines around to line them up.
If you spend more time, I'm sure you could get almost an exact match.