Add domain without exchange use

Hi! I need to stay with my mail account at my local web server, I have add my domain and ver. it. Now when I  have send invite from Teams to someone from my company this mail is only in outlook online. Can, I have preapare rule for fowarding but I can't foward mail A to A, when I have create alias and foward messages from cloud mail (outlook online) I have error, that user not found