There are multiple parts of incorrect information/facts in your post.
If you are laid off (as against furloughed that is still on company payrolls but on leave without pay/benefits) then your clock of 90 day period to find a new employer starts ticking). And you are expected to be out of status unless you find the same job or apply for 'implied status'.
If you are on furlough as explained above, you are good, only for the period that your employer says after few months that you are actually laid off. Then your 90 day period begins as explained above.
And EI is not for all. EI is available for people who actually pay employment insurance. Check out your paystub or talk to your employer.
**I am not trying to fearmonger people** I am trying to clarify how I understand the situation. Feel free to disagree.