The phrase "to grow over the coming years" means that something will increase or become bigger in size, importance, or influence in the next few years. Full definition
The studio will continue to grow over the coming year as it searches for the very best talent from across the game development community. (sumo-digital.com)
They recognized that after the bailout program, which ended in 2014, the economy has recovered and is set to continue growing over the coming years. (cnbc.com)
As I always say, it's a work in progress and will definitely grow over the coming years. (divhut.com)