Tim Loughton asked a series of written questions of a lot of (all??) government departments. I think it's Diversity Role Models that there was understandable concern about as regard child safeguarding - because of the "love has no age limit" story:
https://safeschoolsallianceuk.net/2020/06/18/love-has-no-age-a-letter-to-asda/
https://www.dailystar.co.uk/news/latest-news/asda-sparks-furious-paedo-backlash-22201608
IIRC, it was just after this that the NAHT chose DRM as their charity:
https://www.naht.org.uk/About-Us/Organisations-we-support/Diversity-Role-Models
But there's no date on that link and my recollection could be incorrect.
Loughton asked a question about the due diligence that DfE carried out before working with DRM:
https://questions-statements.parliament.uk/written-questions/detail/2022-01-25/111478
(Not sure the due diligence question was strictly answered...)
You can search all the written questions here and I don't think the DfE had paid Global Butterflies but have a look:
https://questions-statements.parliament.uk
This is the Diversity Role Models answer for the DfE:
https://questions-statements.parliament.uk/written-questions/detail/2021-12-16/94270/
"£187,530.00 grant funding for the period from 10 August to 31 March 2022 [and] payment of £57,057.45 in April 2016 and were provided with £131,231.25 to as part of... 2019-20"