There is no direct integration, and also unfortunately FEIT does not have an IFTTT channel.
As you mentioned, it is possible to do it through an echo routine, although it’s a little tricky, because you have to also create a virtual Sensor since at the present time Eco routines will only trigger based on a sensor, not on a switch. But it’s definitely doable, lots of people have.
See the following FAQ. The topic title is a clickable link. Edited to update and as @Paul_Oliver Notes below, another option in the FAQ, the smart life app integration, would probably be even simpler in this case. 
BTW, by the end of 2022 this may all be much easier as the more manufacturers adopt the new matter standard. But we are probably a year away from that now.
Matter - smart home connectivity standard (formerly Project CHIP)