I think this sentences might be correct as well:
"She also wants to have this kind of shoes"
The word KIND is singular, therefore THIS sounds correct to me and if anything sounds a bit awkward I would say it is THESE, because as I said KIND is singular.
I think it is just not accepted. I entered "Such shoes she wants to have also." which was also marked wrong, although "Such shoes she wants to have too." is accepted. The problem with this sentence is that there are too many ways to phrase it in English.