Hey @Holger_Löbel
yes this will work with an Asana Business account as with that you have an advanced rule function available.
See this screenshot for example which basically reflects what you are trying to achieve.
You set the rule for all entries in a custom field.
So if your options are “Ready For Review” and “Changes Needed” for example you can set up 2 triggers for this and then if sth is selected the task will be added to another project automatically.
fyi here are some more cool rules collected in a post by @Bastien_Siebman : The coolest Asana rules 😎