Any tips I should try in this case to get it work with Mac?
The "proper" way to run cryptowallets is inside clean virtual machines, with no other software installed, preferably one VM per wallet (and ideally those machines should only be able to access internet, and not any of the local network hosts). It's probably not the answer you're looking for, but that's how people usually do this when they don't want their coins stolen. My main desktop is running mac os as well, but I haven't ever used that machine to run any wallets so I don't know what kind of problems one might encounter there. I do know that a lot of coin devs can't even build mac os wallets themselves — just looking at the bounties they usually post in the beginning, there's very often "wallet for mac" there (not sure whether it was the case with stellite). So there's a good chance that a lot of mac os wallets out there are not well debugged at least, or even worse. Thus it's better to stick with windows or linux versions. You can get yourself a windows/linux virtual machine running in 15 minutes, plenty of options out there (I think mac os has some kind of native vm environment for windows called "parallels", although I've never used it myself, vmware is my main choice, but there's also virtualbox and more). For cryptonight cli wallets I usually use linux (ubuntu works just fine), but windows will do as well.
So that's the only tip I can give — run a linux/windows wallet in a virtual machine. It'll take some googling, of course, if you don't have any virtualization experience, but it's a useful skill to have.
Thanks for the answer. I really appreciate it, do not get me wrong.
I know I have not got any coins stolen. There´s just an issue with Stellite-wallet since the wallet is not in sync with the current blockchain status.
If Stellite (or cryptocurrencies overall) would like to go viral (and "to the moon") it would mean that solutions and wallets should be rather easy to use. Also if/when coins like Stellite is offering Mac-wallet - it would be more than appreciated to offer a wallet which would work. OR if it is not working - please offer solution to fix it. Please Stellite?
I would highly appreciate if there would be a solution for me to get the wallet working with Mac.
OR offer some kind a workaround --> E.g. As a workaround - would it be possible to restore my GUI-wallet with Windows/Linux by using the current security phrazes?