The Toffees twice fell behind at the DW Stadium and needed an 86th-minute penalty from Baines to draw level for the last time.
And the Kirkby-born left-back believes the late goal evidenced the Merseyside outfit's mental strength.
|SWEET FOR THE TOFFEES
|11/4||Everton are 11/4 to finish in the Premier League top four with William Hill|
"It shows that we've got character. There will have been times maybe in the last few seasons where we may not have come away with anything, so it's a decent point in the end."
However, Baines revealed that his team-mates remained disappointed not to take all three points, given their good form of late.
"We weren't quite up to scratch in the first half and we knew we had to get back up to where we've been in recent weeks and I think we did that," he added.
"I thought we were the better team in the second half and we came away with a point in the end. We would've liked more but I thought Wigan did really well as well."