This reminds me of the taste of medicine I had as a kid.
This tastes like medicine I had as a child.
"This reminds me of the taste of medicine I had as a kid."
Reminds - To make you remember the taste of something from your childhood. Meaning it is similar to the taste of medicine you took as a child.
Kid - or child, meaning when you were little or young.
"This tastes like medicine I had as a child."
This tastes like - This meaning a soda, candy, etc has a taste like medicine you took as a child.
This reminds me of the taste of medicine I had as a kid.
（子どもの頃に飲んだ薬の味を思い出す）
reminds - 子供の頃に食べた（飲んだ）ものの味を思い出させること。子供の時に飲んだ薬の味に似ているという意味です。
kid - またはchild、小さい頃、若い頃という意味です。
This tastes like medicine I had as a child.
（子どもの頃に飲んだ薬の味に似ている）
this tastes like - これは、炭酸飲料、飴などが子供の時に飲んだ薬のような味がするという意味です。
This tastes exactly like the medicine I was given as a child.
This drink tastes the same as the medicine I had when I was little.
The sense of taste is one of the strongest memory triggers in the human brain, and we can often be reminded of certain periods in our lives when tasting something that we have not tasted in a long time.
Both of these answers explain to someone that the drink/food you have just eaten reminds you of a medicine you had during your childhood.
This drink reminds me of a medicine I took as a child
If you recall a past experience or memory which is triggered by something, then you can state that "This reminds me of that."
"You remind me of my father when he used to play poker every evening."
何かによって過去の経験や記憶を思い出した時、「This reminds me of that.」と言えます。
You remind me of my father when he used to play poker every evening.
（あなたを見ると父を思い出します。彼は毎晩ポーカーをしていました。）
If I was to taste something which brought back memories from when I was a child I would use the following expressions.
The taste of this cake reminds me of the cake my grandmother made.
This tastes like the cake my grandmother use to make me.
These flavors take me back to when my grandmother use to make me cake.
何かを味わって、子どもの頃の記憶がよみがえってきたら、私だったら次のように言います。
The taste of this cake reminds me of the cake my grandmother made.
（このケーキは、祖母が作ってくれたケーキを思い出します。）
This tastes like the cake my grandmother use to make me.
（これは、昔祖母が作ってくれたケーキに似ています。）
These flavors take me back to when my grandmother use to make me cake.
（この味は、祖母が作ってくれたケーキを思い出します。）
This tastes just like the medicine I used to have when I was little.
Sometimes when we taste something, it reminds use of the things we tasted when we were younger. This could happen with something sweet and it reminds us of a medicine that we had when we were little.
If we want to mention about this, you can use the expression:
This tastes just like the medicine I used to have when I was little.
何かを味見したとき、時々、私達が若いときに味わった何かを思い出します。何か甘いもので小さいときに飲んだ薬を思い出す時もあります。
このことを言いたいなら、以下のようにいえるでしょう：
This tastes just like the medicine I used to have when I was little.
（これは小さいときに飲んだ薬のような味がする。）
ドイツ 
アメリカ合衆国 
イギリス 
オーストラリア 
