If by OTOC, you are meaning other Train Operating Companies, the following may help.
Since 2020 all 14 DfT TOCs are either run through the OLR method (where some, usually two, ex railway execs sit on the existing TOC board for the DfT) or via a management contract arrangement with an Owning Group, the one that used to hold the franchise prior to 2020.
In every case the DfT makes the key decisions, sets the budget and agrees the train plan, takes the revenue (on behalf of the Treasury) and pays the costs. In the latter method, the contractor gets a fixed fee for running the TOC on behalf of the DfT together with a Contract Performance fee.
The management contract arrangement was envisaged to be only temporary, as the TOCs were going to be offered to the market again, but time has dragged on, as has the proposed GBR set up. Fundamental changes are likely to be made following the next General Election, whoever gets in.