I don't see how the =TR function you got from the Helpdesk relates to the supply chain. But if this is what indeed you're looking for, then here's the equivalent call using Eikon Data APIs, where the values in the first argument of get_data call are PermIDs for Apple Inc. and Thomson Reuters Corp as an example.
ek.get_data(['4295905573','4295861160'],['TR.HeadquartersCountry','TR.IsPublic','TR.TRBCIndustry','TR.TotalRevenue','TR.EQRegionRank_Latest','TR.CreditRatioImpliedRating'])
I don't believe this data is available through Eikon Data APIs. However you may want to verify this by reaching out to Thomson Reuters Helpdesk and asking if this data can be retrieved into Excel using =TR function. If it can be retrieved into Excel using =TR function, it can also be retrieved using Eikon Data APIs and vice versa.
Alex, the Eikon Helpdesk provided the following =TR function with a static reference to the company PERMID in column A.
How can I extract this using the API?
=TR($A$4:$A$192,"TR.HeadquartersCountry;TR.IsPublic;TR.TRBCIndustry;TR.TotalRevenue;TR.EQRegionRank_Latest;TR.CreditRatioImpliedRating","CH=Fd RH=IN",C3)
Btw, the values in the first argument of both =TR function provided by the Helpdesk and the equivalent Eikon Data APIs call don't have to be company PermIDs. Any other symbology available in Eikon will do just as well, e.g.
ek.get_data(['AAPL.O','IBM.N'],['TR.HeadquartersCountry','TR.IsPublic','TR.TRBCIndustry','TR.TotalRevenue','TR.EQRegionRank_Latest','TR.CreditRatioImpliedRating'])