A man tied himself to the goal post in an apparent protest and the game was delayed for seven minutes.
The second half was only five minutes old when the game was stopped after a protester tied himself to the goalpost at the Gwladys Street End.
The man was then taken away by police and stewards.
The 21-year-old was holding a protest in front of the oil company's headquarters in protest of the new oil fields in the North Sea.
A young supporter of Just Stop Oil ran onto the pitch at a football game to draw attention to the group's demand that the Government ends all new fossil fuel supply projects.
The referee stopped the game at Goodison Park after Louis locked on to the goalpost.
Louis added his own message, saying that it was time to look up, time to step up and not stand by. It is time to act like an emergency.
My future is going to be dire and my government is telling me not to worry and pay into a pension.
We face a cost of living crisis, a housing crisis, a fuel crisis and an unlivable planet, but we have a choice. We can highlight that our climate is breaking down, we can resist the government that is betraying us, and we can step up and not stand by.
The incident happened during a crucial match for the Toffees, who have been pulled into the battle to stay in the league. They were outside the top three on goal difference going into the game.
At the time of the protest, the game was goalless.