Sean Dyche said he reminded his team of their poor away form at half-time to inspire a 3-2 win over Frank Lampard's side.
The team has taken just six points away from Goodison Park this season.
The win by Maxwel Cornet five minutes from time left them one point behind their rivals in the table.
He said at half-time that he was not sure how to win a game away from home.
We have to play on that.
Richarlison scored twice from the penalty spot in the first half to cancel out Nathan Collins' opener for the visitors.
After his team talk, Dyche's side were able to equalise through Jay Rodriguez, before Cornet capitalised on mistakes from Jordan Pickford and Ben Godfrey to score the winner.
It was only the fourth league win of the season for the Clarets, but they are just one place behind the Toffees, who have not earned a point on their travels since December.
The mentality is hard, I know what it is like. Dyche said that every season there have been tough patches.
All the teams around us in the table have the same issues, whether it is home or away, according to the man who was appointed in January.
You don't win enough football matches. The same thing has been happening. The way we get out of it is by working.
No matter what the result is, everything is challenging. We have nine games to stay in the league and 27 points. We lost points because it wasn't a game to lose for us.
He was disappointed by the mistakes which led to the goals. Collins was in the right place at the right time to meet the corner.
The effort is there and the belief will always be tested. It is a test of belief for everyone.
I have to bring that back. We have a game on Saturday against Manchester United, but at the same time the effort is there. The players were disappointed at the end.
We have been aware of the pressure that is on it. We have to use this as a positive, which means being on edge until Saturday, a good edge. We have to be prepared.
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