"report favourably" is a correct and usable phrase in written English, especially in a formal or professional setting.
It means to provide a positive and approving evaluation or description. Example: "The committee was pleased to hear that the independent auditor's report favoured the company's financial performance."
More specifically, journalists are often likely to report favourably on NGOs that house them, feed them and drive them around on trips.
"Over the past year the government has launched three 'public' media outlets that in theory report on citizens' business, but in practice mainly report favourably on government actions.
People I know who use it regularly report favourably on the experience, and most will now look first for an Airbnb rental rather than a hotel when going abroad.
Portugal's loss, on safety grounds, is a shot across the bows to other well established venues - including this weekend's Sanremo Rally, which will not form part of the 2002 calendar unless the FIA observers report favourably.
It also reportedly doesn't welcome foreign journalists unless they agree to report favourably about the government.
Recent studies report favourably on the use of cluster randomisation as an appropriate methodology for use in this patient group.
They reported favourably to the university council, to the reported anger of Thatcher and Joseph.
It added that inspections (and for 2013) have "reported favourably on both our systems and our achievements … Likewise students have reported favourably (internally and externally) of the opportunities made available to them.
They reported favourably but did not recommend that the scheme be proceeded with immediately.
Indeed, Hare reports favourably of a church placard which read, "If you have conflicting duties, one of them isn't your duty".
The committee reported favourably on the plan, and it was approved by a single vote when several opponents were absent from the chamber.
