If your luggage is not checked through
Out through passport control, collect bags, customs, land side, walk the link T1 to T2, check in, security, gate.There is NO other way
Dublin flight connections is ONLY available on ticketed connections no self connection (Ryanair won't pay for the facility) so even if you had hand luggage only you might be turned back. That said AC and EI have interline agreements so you should have been able to purchase a connecting ticket and checked luggage to destination.