This is possible with Sync in Hue Essentials. You need to create two entertainment areas, one with your Philips Hue lights on a Hue bridge, and another one with your LIFX lightstrip. Then for the Sync you can select both entertainment areas.
Note that the 10 light limit is only for a Hue bridge.
See also the following for more information: Sync (Entertainment) on your phone or Android TV