Hi there, sorry but i cant really help too much with that.
First of all you have 1.4 version of the theme which is reaaaally old.
current one is 1.7.2
second of all- cosmetico is totally responsive and mobile friendly, which means that if something is wrong the issue lays with your developer.
for example i see something like that in responsive.css
and another one:
image at the bottom has style set to
that simply cannot work on mobile