A strong Toffees' line-up failed to put the friendly to bed after going 1-0 up against their Scottish opponents as the 24-year-old rifled a volley past Tim Howard
Everton were held to a 1-1 draw by Motherwell in a pre-season friendly at Fir Park, which also acted as Stevie Hammell's testimonial, thanks to a fantastic equaliser from Nicky Law.
David Moyes fielded a strong line-up for the fixture, starting with first-team players Tim Howard, Sylvain Distin, Leon Osman, Marouane Fellaini and Tim Cahill.
Phil Jagielka and Leighton Baines both missed the game, as they do not return to training until Monday, with starlet Ross Barkley picked instead for the reserves' evening game against Airdrie United.
The Premier League side made a bright start by passing the ball about neatly, however it was their Scottish opponents who worked a couple of openings, Chris Humphrey forcing Howard into a save and Hammell seeing his free-kick deflected over.
The Merseyside team continued to play some good football and as the half-hour mark approached Moyes's men managed to assert themselves in the game. Cahill firstly tested Darren Randolph, before heading over from the resulting corner.
As the away side began to grow into the game, Fellaini tried his luck from distance but saw his effort go wide. Minutes later, though, Anichebe's cross was met by Shane Duffy, who headed home for the opener.
The defender's goal was all that separated the two teams at the interval, with Jamie Murphy failing to level the scores just before the whistle as his long-range shot narrowly missed the target.
As usual for a pre-season run-out, a number of substitutes were made at the break. Nikica Jelavic, Jack Rodwell, Francisco Junior and Darron Gibson all entered the fray for the second period, with Motherwell making just a single change.
Everton almost doubled their lead within two minutes when Seamus Coleman connected with Rodwell's cross – a miss that the Toffees would rue as Law's peach of a volley flew past Howard after 54 minutes.
As the hour mark passed Rodwell was denied a goal thanks to a superb goal-line clearance, after good build-up from Fellaini and Junior, before former Toffee James McFadden came off the Motherwell bench to receive a standing ovation from the travelling 1,049 supporters.
Another significant substitution was made with 20 minutes left as Steven Naismith came on to make his Everton debut, to jeers from the home support, after receiving international clearance in time following his move from Rangers.
Naismith nearly bagged a goal on his first outing too, but was denied by Randolph before, with five minutes remaining, Motherwell had the last chance of the game as Howard saved from a dangerous free-kick.
The scores, therefore, remained level and Everton will now turn their attention to a trip to Indonesia.