This depends on the group of Muslims themselves. Generally, a group might not accept donations as Sharia law dictates that Islamic transactions be free of interest, i.e. of a loan, or have been procured from someone who does not follow the economic statues of the Sharia.
A more moderate group of Muslims would accept donations from a Christian or a Jew, as they have special "dhimmi" status, as people of the Book and believers in the god of Abraham.
The most liberal group of Muslims might even accept money from a kafir, or non believer in the god of Abraham i.e. a polytheist such as a Hindu.
However, one can never be sure until one asks!
Mosque
Yes, you can ask for charity for Mosque renovation or for covering mosque running cost
a mosque
a mosque
Moslems (or Muslims)
There is no adjective to mosque. Mosque is the building where Muslims go for praying.
A mosque is a building where Muslims go to worship.
The mosque is a place of worship for Muslims.
in the mosque
Muslims
Since I'm Muslim this is why. The things to do in a mosque is to pray, read Quran, and do ziker(reading on fingers). Also religious teachings are there. So its like going to your religious places. That's why Muslims accept it. There is nothing bad there.
by donations from the public or Islamic governments.