The visitors went in at the break a goal down courtesy of a Leighton Baines strike, but Pardew brought on Ba at half-time and the Senegalese forward didn't disappoint by grabbing both goals in the second half, the second of which was a dramatic late equaliser just moments after Victor Anichebe handed Everton the lead.
Ba believes that a point at Goodison Park, a ground where they were beaten 3-1 last season, is a good result - but he also hinted at a fractious relationship with his boss in the process.
"A draw is good because the game was difficult, especially when you remember the game that we played last season here was a very difficult game," Ba told Sky Sports.
"The first half was quite the same. In the second half, we were different.
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The club's second-choice goalkeeper Steve Harper was handed his first Premier League start in over a year after Tim Krul failed to recover in time from injury, and he paid tribute to the spirit of the side after playing a large part in keeping out Anichebe's wrongly disallowed goal late in the second half.
"Well it was behind me and I genuinely thought I'd saved it, but apparently it was over the line," he said. "You're taught never to give it up and I didn't and we went down the other end and scored which was fantastic.
"It was point blank and you have to make yourself as big as you can and I've managed to get it onto the bar and we've got a bit of luck, you need a bit of that and we've taken a couple of deflections on the goal-line but what goes around comes around.
"That's a fantastic point, we were well beaten here in May and to come from behind... The manager wasn't happy at half-time, rightly so and he's made a very attacking substituion and when you've got the quality of Demba on the bench, he's going to come on and score goals and he did.
"Obviously we went 2-1 down which was disappointing but the spirit in the camp is fantastic.
"We didn't give up and we kept going until the end. We've tried to put it in behind them and when you've got Demba, Papiss [Cisse] and Hatem [Ben Arfa]'s quality, you're going to get goals."