Does he like egg rolls though? I’m being so serious.
To me He told that if I would like egg rolls and If I wished to share with Him (after I ate from it, then I can offer the rest of it to Him), He would accept it.
…but I don’t like it, so.… 
It may be because if you taste something, you have “connected” to it in some ways, and maybe this is what can makes even this things “offerable” to Them. Of course, if your relationship isn’t enough strong, They can refuse it if They want.
(For example, I still don’t know why did He asked me to offer my menstrual blood, for as I know it isn’t too frequent offering to Him.)