The emphasis was on the single quote. You have worked long enough with SQLite to know where to add the ORDER clause.
$"select ObjectType, ObjectName, ColumnName, Affinity, ColumnID
from SysColumns where ObjectName ='${strObject}' order by ColumnID"$
or even this although the first is preferred:
$"select ObjectType, ObjectName, ColumnName, Affinity, ColumnID
from SysColumns where ObjectName ='${strObject}' "$ & " order by ColumnID"
Unfortunately, your nitpicking always gets in your way.