Chorus Pro tutorial
Log in at https://chorus-pro.gouv.fr/ (you need an account there first, this tutorial isn't about setting up accounts).
Click on "Invoices submission".
Upload your file and fill in the remaining fields (NOTE: it's important to select A1 as the "Invoicing framework").
Click on "Continue". You will be redirected to "Invoice submission in progress".
Depending on the format of your invoice, data will be filled in or not.
If not, fill in "SIRET", and "Service Code" for CNRS (the "Invoice Recipient" tab), then make sure all data is correct in the "References" and "Total amounts" tabs (in particular the "Commitment Number" must be present, the one you got back after sending the quotation).
Since I'm VAT-exempt, I fill in "VAT type" as "Without VAT" and enter "VAT amount" as 0.
After all is set up, click on "Validate and send" (you might need to confirm the data yet again in a popup).
You will be redirected to the "Summary" page.
Now when you go to "Dashboard" you will see your invoice as "Available to recipient".
The goal now is for CNRS to move it further to "Payment". If status doesn't change for too long, I usually ping anoe about this.