I've done a lot work with boilers, plumbing etc.
I also am not a big believer in coincidents.
You don't need a gauge to tell you that you have low pressure. Obviously you have good pressure at the tank, you say 45psi. There is a restriction downstream causing both low flow and the resultant low pressure.
Still unsure due to answers if the problem is only in cold and/or hot. Still unsure if every faucet in the hosue is affected.
If its your hot water faucets that are low also, then its obviously something associated with both sides of the furnace.
You cannot isolate the hot side from the cold side unless there are check valves in the system. If there are that might be the issue.
I think someone suggested it but most bladder tank plumbing has a faucet, usually a boiler drain, at the base used for drainng the entire system. Hook a hose here and see what kind of pressure you have. If it is good, stop looking for your issues anywhere but in the pipes/valves downstream of that. Its not a tank, well drying up or anything else upstream.
Pictures of the valving that they messed with and descriptions of what pipe goes where might help.
Are these ball or gate valves?
I've replaced tons of old valves that broke when they were used for the first time in years, mostly gates.
You can't tell whether the pressure in the baseboards is OK unless you have guages somewhere in them so those might also be affected but since thet are not considered true users, thay aren't going to be affected by what you have going on.
Instead of cutting pipes apart and installing guages, cut out any valve that was turned and replace them.
Another way that might help.
Remove the divertor/screen from a faucet closest to the tank that has the issue. Turn a faucet on, rapidly excersize any upstream valve going from open to close. Sometimes if something broke loose and is sticking somewhere, this can break it free and flush it out. I always like to use like a laundry tub faucet if available. They have pretty high flow rates and usually no divertor to have to mess with.
Here's another thought.
Unless its very obvious, they may have been looking for the correct valve to turn the water to the furnace off and inadvertently turned off/ then back on a valve that has nothing to do with the furnace and now you aren't even looking for your issue at that valve as a possible suspect.
Good luck