Order a django queryset by ManyToManyField = Value

I'd try annotate the query with the conditional value that turns true when the tag is in the list you provide

from django.db.models import Case, When, IntegerField

Thing.objects.annotate(tag_is_known=Case(
    When(tags__name__in=['foo', 'bar'], then=1),
    default=0,
    output_field=IntegerField()
))

Next we use that annotation we called tag_is_known to sort with order_by():

Thing.objects.annotate(tag_is_known=...).order_by('tag_is_known')

Boolean version

Thing.objects.annotate(tag_is_known=Case(
    When(tags__name__in=['foo', 'bar'], then=True),
    default=False,
    output_field=BooleanField()
))