How to bring "escaped" euonymus hedge back under control?
Prune as soon as you can--before July 15.
You can cut back as much as 1/3 of the shrub each year. From the photos, it looks like that would handily get your euonymus under control.
Here's help with how to prune: https://extension.umd.edu/hgic/topics/pruning-shrubs-and-hedges