SPOILER ALERT...Try driving to the buttons in opposite order. One turns off faster than the other, and both need to be on for the door to be open. You need to drive straight from the left button through the door.
I admit, the learning curve could be flatter. First a single button, then a single button where you have to go fast. Maybe a timing indicator next to the button. Then have the current level 1 as the first “figure out how to solve it” level. But, you know… game jam :D