First of all, it is completely natural for an older sibling, especially one that is still a little one himself, to regress and do some baby-ish things when a sibling comes along. Some kids want to use bottles, some refuse to use the toilet and want diapers again, some want to be carried all the time, etc.
It sounds like Asher is doing some regression. You could just give in and let him have binkies if you don't want to fight it, but get the bigger ones for him. This might even take away the "forbidden fruit" aspect of it, and he might decide he really isn't that interested. But most likely, you want to keep him bink-free, so you might need some other tricks.
You could get him a cool sippy cup that he absolutely loves and take it away from him when he takes the bink. You could emphasize how binks are for babies and he is big although this might backfire and make him want to be more of a baby in your eyes, so you need to decide if this is the best approach for his personality and stage of development.
You could also do a sticker chart. He might be a little young to understand this so it would need to be very simple. Like each evening if he hasn't messed with the binks, he could put a sticker on a chart. When he got three stickers or so, he could pull a little toy out of a treasure chest. You could also have a toy box with some special things in it that he could only play with during the key times when the baby is hanging out sucking on the bink.
It is an amazingly tough time for the older sibling, especially since he is still somewhat of a baby himself, so just be patient with him and give him the support he needs to be a great big brother.