Tranmere scored a controversial late winner to see off Sky Bet League Two side Accrington in a 1-0 win.
Accrington Stanley live updates
Everton, under new boss Roberto Martinez, won 4-1 at League Two side Accrington, who are managed by former Toffees striker James Beattie.
Darron Gibson, Victor Anichebe, Kevin Mirallas and Leon were on the scoresheet for the Toffees.
James Beattie has been appointed as Accrington's first-team manager with immediate effect.
Stanley have been without a manager since Leam Richardson left to join former boss Paul Cook at Chesterfield at the end of April.
Former Southampton, Everton and Stoke striker Beattie, who joined the club as a player in November, will be officially unveiled at a press conference on Tuesday morning.
Francis Jeffers off the bench to make his debut for Accrington Stanley. Who are they? Exactly.
League Two Accrington Stanley have signed former England international Francis Jeffers on a deal until the end of the season, according to reports.
The wintry conditions are taking their toll as the first weekend football fixtures have been called off.
The League One games at Scunthorpe, Crawley and Bury have all fallen victim to frozen pitches while the League Two matches at Accrington, Rochdale and Southend are off for the same reason.