▲就你的句子而言：最好用 through，也可以用 with（不如用 through 普通），但不宜用by。附相关例句：

She was noisily sucking up milk through a straw. 她正用吸管咕嘟咕嘟地喝牛奶。（牛津词典第7版）

She sucked up the last bit of milkshake with her straw. 珍妮用吸管喝完最后一点奶昔。（朗文词典第4版）

▲介词 through 表示“通过”有多层意思：

一是表示从一端进入另一端出来（这就是网友这个句子中through的用法）。如：

She escaped through a secret door. 她通过暗道逃走了。

Water will be pumped through a pipe.  水将通过管子抽上来。

She took a sip of cola through a straw. 她用吸管吸了一口可乐。

You can hear the rumble of a railroad train as it goes through a tunnel. 你能听到火车过隧道的隆隆声。

二是通过某一地区或某一群事物。如：

We passed throughFranceon our way toItaly. 我们去意大利时途经法国。

We made our way through the village to the farm.  我们穿过村庄来到了农场。

He had to push his way through the crowd to get to her.  他不得不挤过人群来到她身边。

三是表示通过或透过玻璃、窗户等。如：

I saw you through the window. 我是透过窗户看到你的。

She looked through a crack in the curtains. 她透过帘子的缝隙观望。

I could see right through the thin curtains. 我透过薄薄的窗帘就可以看到。

四是表示通过某方式或手段。如：

She got her first job through an employment agency. 她通过职业介绍所得到了第一份工作。

He got his job through a friend. 他通过一个朋友(帮忙)得到这份工作。