Rocket Mortgage won't report payments paused during a forbearance as late to the credit bureaus. More complicated is whether and when you can refinance or get a loan for a new home:
In general, if you've continued to make mortgage payments on time throughout your forbearance, you're eligible.
For FHA loans, unless you've been continuing to make your payment throughout the forbearance, you have to make three consecutive scheduled payments or three payments after selecting a repayment option to do a purchase or rate and term refinance. For cash-out refinances, you need to make payments for a year.
For VA loans, you can bring yourself current, but if you qualify, you can also refinance to pay off past-due amounts.
To qualify for a conventional loan option through Fannie Mae or Freddie Mac, you have to either have made up all back payments on the mortgage that was in forbearance or have made three consecutive payments in a workout plan.