I didn't know Teach your Monster. But I've just had a look, and I can't say I am particularly impressed with these 'gimmicky' methods.
Having worked in primary schools for twenty-five years, as TA and voluntary helper, teaching of reading has changed during that time. But I feel that a responsible, serious approach to learning phonics and applying it in the way that SHOULD be taught in a good school, with good professional teachers, will produce more secure results than these flashy, novelty gimmicks can.
If you regularly listen to her reading her school books, supporting and explaining where necessary, and also if YOU read longer, harder books TO her, so she can start to acquire enjoyment of books (non-fiction as well as fiction) then, before too long, she might start to gain satisfaction herself, from her developing skills.
Should you not be very experienced in Phonics yourself, come back to me and I will try to clarify things.