VBA (161 bytes)
Function t(s As String)
t = 0
For i = 2 To Len(s)
a = Left(LCase(s), i)
If Asc(Right(a, 1)) <= Asc(Right(a, 2)) Then Exit Function
Next
t = 1
End Function
Compares ascii value with previous letter in lowercase, return 1 as true and 0 as false(false) when its value is smaller / equal and exit function