The summer signings inspired Aberdeen to a 3-1 victory at Dundee after hopping off the bench while the match was poised at 1-1.
Former Bournemouth striker Stockley headed the Reds in front before Burns earned an 88th-minute penalty which Kenny McLean converted.
McInnes was delighted to see his double substitution pay off and hailed Stockley and Burns for seizing their chancet.
"I thought we just got into a wee lull and something had to change. We were getting plenty of penalty-box entries and balls into the box, but we never really carried that threat as much as the first half. Sometimes it just takes something different," McInnes said.
"It's always difficult taking off a goalscorer like [Adam] Rooney, especially when you are needing a goal. But we brought other people here because we have been too reliant on Rooney and I thought all three substitutes, but especially Jayden and Wes, helped turn the game for us.
"I'm delighted for Jayden. He is desperate to come here and make an impact. It is difficult to find a place in our team because there's not been a lot wrong with it. So it's important when they do come in they contribute, which they did.
"We found our killer instinct because that is one thing we have been lacking. We reminded the players, the feeling we have got now is the reason why we play. That's how we want to feel on our weekends, enjoying a win. It is all about winning."
Source: Sky Sports