The Red Devils lost 1-0 at Goodison Park courtesy of Marouane Fellaini's 57th-minute header, although Ferguson believes that his side played the better football.
"We were the better football team, they had eight shots on target and [David] De Gea did very well for us in that way," the Scot told MUTV. "But we had the possession and made some great openings without actually finishing it.
"That was the only difference. The goalkeeper did really well. Other than that we played good football, good combination play, on another day we would have won the match."
United have now failed to beat the Toffees in six of their last 10 meetings.