What do you mean?

What do you mean by 想以ld的名义邀请我父母过来? VO won't care about 以whose名义邀请母过来。Just write a letter in a tone that both of you want your parents to come and visit.

The most important material which will support your parents visa is their status. Do they have strong ties to China, like job, relatives, especially other kids, their parents etc. If they have income, property,health care etc.