Here is an option for this situation:
Step 1 :
Sch E ... all the rent paid by the tenants is reported on the Sch E and then you deduct all the expenses which will include their management fee. FYI ... stop using them if they will not correct their blatant error.
Step 2 :
Then report the 1099-NEC income on a Sch C ... just fudge in the required info just to get by and then make ONE expense entry in the misc expenses section ... name it "income already reported on the Sch E" to zero out the income reported on the wrong form. This method should keep you on the good side of the IRS.
