sollen  (should, be supposed to) is a modal verb.

Modal verbs are normally used with another verb in the infinitive (without zu) which goes to the end of the clause.

abstellen (in this context: to put down, to put, to place) is a separable verb.

Separable verbs are basic verbs with a prefix that is separated from the conjugated part of the basic verb and appears at the end of an imperative clause.

 

personal pronoun possessive article
ich mein(...)
Sie Ihr(...)

 

imperative: Bitte stellen Sie hier Ihr Geschirr ab.

 

solution: Hier soll ich mein Geschirr abstellen.