There is nothing inherently wrong with using an hdd formatted with MBR on the Mac. macOS should have no problem accessing any files that you have stored on that drive, barring some sort of hardware issue.
> What problem do you encounter when you try to access your files?
> You say Disk Utility does not help. What did you try?
> What sort of files have you copied to the drive?
> How did you copy those files to that drive?
> Assuming you have "Show external disks" enabled, does the drive appear to mount properly on the desktop?
If a simple reboot of your Mac doesn’t fix things, see if the problem still happens in Safe mode (press and hold the shift key down at startup). It can take much longer to safe boot (5 min) so be patient.
How to use safe mode on your Mac - Apple Support
Safe mode very often corrects weird software behavior by forcing the OS to do cache clearing and other housekeeping. When you're in safe boot, the machine will not be at its best performance, especially with graphics, but that's expected.
Does the problem persist while in Safe mode?
Often not required, but consider allowing the Mac to "soak" in Safe mode for an hour to allow maintenance routines and processes time to complete, then exit safe mode by restarting your Mac normally and re-evaluate the issue again.