What booking class was on the BP with the EN number? If booked as LH flight you will get the codeshare translate fareclass miles.
https://www.miles-and-more.com/row/e..._basic_01.html
In order to earn miles on a flight with Air Dolomiti, simply book your ticket in Economy Light, Economy Classic, Economy Flex or Business Class at the Lufthansa tariff.
Travel classBooking classMilesBusiness ClassA, F, J2,000Business ClassC, D1,250Business ClassG, H, O, P, R, U, Z 750Economy ClassY1,250Economy ClassB750Economy ClassM, Q500Economy ClassE, K, L, N, S, T, V, W125