In my experience, edrum volume output isn’t very strong, and it’s best to have lower impedance headphones that can be driven more easily by the edrum modules headphone jack.

Many modules work best with 40-80 Ohms. If you want to use those Dt770’s, you may need to buy a DAC that can amplify the signal coming from the module to the headphones.

I personally bought these inexpensive IEM’s after hearing so many people rave about them.

https://www.amazon.com/gp/aw/d/B07QLTSZY4?psc=1&ref=ppx_pop_mob_b_asin_title

They need to be properly fitted (snuggly) inside your ear to sound good, but the isolation and sound quality are great for the price. No DAC needed.

Another good option would be the Sennheiser HD280’s.