"To continue the funding" means to provide or give more money to support a particular project, program, or organization in order for it to keep operating or progressing. Full definition
The panelists all advocated for continued funding for the integrated models. (edprepmatters.net)
We're trying to justify continued funding in the face of the fact that such a small proportion of what we buy gets used NOW. (meredith.wolfwater.com)
Here you will notice that each new school with after school funding will be represented in orange, schools with continuing funding are represented in yellow. (afterschoolnetwork.org)