My BTC hasn't shown up in my Wallet I transferred BTC to my wallet and it hasn't shown up. IT's been 6 weeks and still nothing. I transferred my funds from Binance and Binance is showing that the BTC has been send and received. Bitcoin Core is telling me that it needs to synchronize with the network and is 5 years and 4 months behind. Does anyone have any suggestions as to how to retrieve my BTC? Thank you
Bitcoin Core is telling me that it needs to synchronize with the network and is 5 years and 4 months behind. Does anyone have any suggestions as to how to retrieve my BTC?

You have not synced bitcoin core full node yet.
If you want to check transactions associated with an address from this wallet or create unsigned transactions:
Create a watch-only wallet in Electrum by using the last option 'Import bitcoin addresses or private keys' while creating new wallet or you can create watch-only wallet in bitcoin core as well if you have it synced on other machine
If you want to sign and broadcast transactions using bitcoin core:
signrawtransactionwithwallet
sendrawtransaction