Will I get star alliance benefits on Discover airlines? (Booked through LUF)

I’m flying Vegas-Frankfurt-Stockholm. This is my return journey.

My Vegas to Frankfurt flight is operated by Discover airlines (which is not star Allaince, but Miles and More, and is owned by LUF). I’m Star Alliance gold and wondering if I’ll get the additional suitcase on this flight?

The entire PNR is booked through LUF and on this same PNR I did get additional suitcase on my onward journey (Stockholm - Frankfurt- Denver (United) - Vegas)

UPDATE : My EuroBonus star Alliance gold status was recognised even without me asking. I got extra check in bag and also lounge access