In this talk, I introduce a generalized structural condition for the double phase problem. The main operator is expressed as the diagonal component of a suitable function $G(x, y, z)$ involving two spatial variables, where $x$ is the variable modulating the growth and $y$ is the variable that allows some additional irregularity on the main operator. Under this generalized structure, we show that by assuming an appropriate regularity assumption on the $y$ variable, one can obtain a certain regularity of the gradient of solutions.