Robinson (hamstring) and Goodison (groin) went off in the early stages of the 1-1 draw with Notts County and will not return this weekend.
"I don't know what we've done wrong just recently. It's incredible how things have gone against us," manager Ronnie Moore told BBC Radio Merseyside.
"They'll not be fit for Saturday, that's for sure. They're a little bit older so how long will they take? I don't know."
Mamady Sidibe, Adam McGurk and captain James Wallace are already sidelined for Rovers.