I have been told that being a muslim I cannot accept the offerings(sweets) that Hindus offer to their Gods. Can I accept it, being a muslim myself?

Yes, you can accept it, nothing wrong
All religions are one

Essay on Religion and Peace: The Truth in all Religions

Yeah u can accept it since u have faith on allah in your heart even you can visit hindu holy places
But u should not and never forget that god is one and he is allah
He is neither begot nor begotten
He is pure n eternal