That is not the standard 44pin connector found on 2.5" PATA drives.
The MTRON MOBI 3000 SSD is 2.5" which obviously will not fit. You'll have to find a 1.8" PATA SSD with a 50pin ZIF connector (I think that's what it's called). The interface you have got is standarised for 1.8" PATA drives so it should work with off-shelve 1.8" PATA SSDs.
FYI there are also a few other non-standard PATA interfaces for 1.8" drives.
I was reading this article just then and saw a link to 1.8" SSD. In the article Samsung Q1 uses 1.8" ZIF which isn't the same as yours in picture. The I saw 1.8" Micro-ATA, looked it up and found this which matches yours exactly.
So a correction to my previous post. You need to find a 1.8" SSD that uses Micro-ATA, such as those.